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Finding the Fourth Proportional to 472,857.20, 709,285.80 and 224,025.20

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Solution

The fourth proportional to 472,857.20, 709,285.80 and 224,025.20 is: 336,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,857.20 : 709,285.80 = 224,025.20 : x
  2. Step 2: Convert to fraction form
    472,857.20/709,285.80 = 224,025.20/x
  3. Step 3: Cross multiply
    472,857.20x = 709,285.80 × 224,025.20
  4. Step 4: Simplify right side
    472,857.20x = 158,897,893,202.16
  5. Step 5: Solve for x
    x = 158,897,893,202.16/472,857.20
  6. Step 6: Final answer
    x = 336,037.80

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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.