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Finding the Fourth Proportional to 461,052.33, 636,254.98 and 257,116.14

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Solution

The fourth proportional to 461,052.33, 636,254.98 and 257,116.14 is: 354,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,052.33 : 636,254.98 = 257,116.14 : x
  2. Step 2: Convert to fraction form
    461,052.33/636,254.98 = 257,116.14/x
  3. Step 3: Cross multiply
    461,052.33x = 636,254.98 × 257,116.14
  4. Step 4: Simplify right side
    461,052.33x = 163,591,424,513.38
  5. Step 5: Solve for x
    x = 163,591,424,513.38/461,052.33
  6. Step 6: Final answer
    x = 354,821.81

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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.