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Finding the Fourth Proportional to 542,709, 748,817.71 and 313,217.64

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Solution

The fourth proportional to 542,709, 748,817.71 and 313,217.64 is: 432,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,709 : 748,817.71 = 313,217.64 : x
  2. Step 2: Convert to fraction form
    542,709/748,817.71 = 313,217.64/x
  3. Step 3: Cross multiply
    542,709x = 748,817.71 × 313,217.64
  4. Step 4: Simplify right side
    542,709x = 234,542,915,916.40
  5. Step 5: Solve for x
    x = 234,542,915,916.40/542,709
  6. Step 6: Final answer
    x = 432,170.68

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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.