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Finding the Fourth Proportional to 653,809.80, 980,714.70 and 232,933.80

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Solution

The fourth proportional to 653,809.80, 980,714.70 and 232,933.80 is: 349,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,809.80 : 980,714.70 = 232,933.80 : x
  2. Step 2: Convert to fraction form
    653,809.80/980,714.70 = 232,933.80/x
  3. Step 3: Cross multiply
    653,809.80x = 980,714.70 × 232,933.80
  4. Step 4: Simplify right side
    653,809.80x = 228,441,601,786.86
  5. Step 5: Solve for x
    x = 228,441,601,786.86/653,809.80
  6. Step 6: Final answer
    x = 349,400.70

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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.