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Finding the Fourth Proportional to 470,521.18, 705,780.35 and 133,562.12

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Solution

The fourth proportional to 470,521.18, 705,780.35 and 133,562.12 is: 200,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,521.18 : 705,780.35 = 133,562.12 : x
  2. Step 2: Convert to fraction form
    470,521.18/705,780.35 = 133,562.12/x
  3. Step 3: Cross multiply
    470,521.18x = 705,780.35 × 133,562.12
  4. Step 4: Simplify right side
    470,521.18x = 94,265,519,159.34
  5. Step 5: Solve for x
    x = 94,265,519,159.34/470,521.18
  6. Step 6: Final answer
    x = 200,342.77

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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.