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Finding the Fourth Proportional to 416,160, 574,239.20 and 252,731.52

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Solution

The fourth proportional to 416,160, 574,239.20 and 252,731.52 is: 348,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,160 : 574,239.20 = 252,731.52 : x
  2. Step 2: Convert to fraction form
    416,160/574,239.20 = 252,731.52/x
  3. Step 3: Cross multiply
    416,160x = 574,239.20 × 252,731.52
  4. Step 4: Simplify right side
    416,160x = 145,128,344,595.93
  5. Step 5: Solve for x
    x = 145,128,344,595.93/416,160
  6. Step 6: Final answer
    x = 348,732.09

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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.