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Finding the Fourth Proportional to 415,406.72, 573,260.28 and 224,419.52

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Solution

The fourth proportional to 415,406.72, 573,260.28 and 224,419.52 is: 309,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,406.72 : 573,260.28 = 224,419.52 : x
  2. Step 2: Convert to fraction form
    415,406.72/573,260.28 = 224,419.52/x
  3. Step 3: Cross multiply
    415,406.72x = 573,260.28 × 224,419.52
  4. Step 4: Simplify right side
    415,406.72x = 128,650,796,872.67
  5. Step 5: Solve for x
    x = 128,650,796,872.67/415,406.72
  6. Step 6: Final answer
    x = 309,698.40

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