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Finding the Fourth Proportional to 403,761.92, 557,185.92 and 224,913.92

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Solution

The fourth proportional to 403,761.92, 557,185.92 and 224,913.92 is: 310,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,761.92 : 557,185.92 = 224,913.92 : x
  2. Step 2: Convert to fraction form
    403,761.92/557,185.92 = 224,913.92/x
  3. Step 3: Cross multiply
    403,761.92x = 557,185.92 × 224,913.92
  4. Step 4: Simplify right side
    403,761.92x = 125,318,869,436.01
  5. Step 5: Solve for x
    x = 125,318,869,436.01/403,761.92
  6. Step 6: Final answer
    x = 310,378.13

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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.