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Finding the Fourth Proportional to 542,815.34, 749,119.08 and 313,414.58

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Solution

The fourth proportional to 542,815.34, 749,119.08 and 313,414.58 is: 432,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,815.34 : 749,119.08 = 313,414.58 : x
  2. Step 2: Convert to fraction form
    542,815.34/749,119.08 = 313,414.58/x
  3. Step 3: Cross multiply
    542,815.34x = 749,119.08 × 313,414.58
  4. Step 4: Simplify right side
    542,815.34x = 234,784,841,828.19
  5. Step 5: Solve for x
    x = 234,784,841,828.19/542,815.34
  6. Step 6: Final answer
    x = 432,531.70

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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.