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Finding the Fourth Proportional to 415,475.70, 573,356.70 and 224,489.04

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Solution

The fourth proportional to 415,475.70, 573,356.70 and 224,489.04 is: 309,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,475.70 : 573,356.70 = 224,489.04 : x
  2. Step 2: Convert to fraction form
    415,475.70/573,356.70 = 224,489.04/x
  3. Step 3: Cross multiply
    415,475.70x = 573,356.70 × 224,489.04
  4. Step 4: Simplify right side
    415,475.70x = 128,712,295,160.57
  5. Step 5: Solve for x
    x = 128,712,295,160.57/415,475.70
  6. Step 6: Final answer
    x = 309,795.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.