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Finding the Fourth Proportional to 527,714.25, 791,571.38 and 232,226.25

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Solution

The fourth proportional to 527,714.25, 791,571.38 and 232,226.25 is: 348,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,714.25 : 791,571.38 = 232,226.25 : x
  2. Step 2: Convert to fraction form
    527,714.25/791,571.38 = 232,226.25/x
  3. Step 3: Cross multiply
    527,714.25x = 791,571.38 × 232,226.25
  4. Step 4: Simplify right side
    527,714.25x = 183,823,652,023.59
  5. Step 5: Solve for x
    x = 183,823,652,023.59/527,714.25
  6. Step 6: Final answer
    x = 348,339.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.