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Finding the Fourth Proportional to 542,902.70, 749,121.31 and 310,326.19

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Solution

The fourth proportional to 542,902.70, 749,121.31 and 310,326.19 is: 428,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,902.70 : 749,121.31 = 310,326.19 : x
  2. Step 2: Convert to fraction form
    542,902.70/749,121.31 = 310,326.19/x
  3. Step 3: Cross multiply
    542,902.70x = 749,121.31 × 310,326.19
  4. Step 4: Simplify right side
    542,902.70x = 232,471,960,495.21
  5. Step 5: Solve for x
    x = 232,471,960,495.21/542,902.70
  6. Step 6: Final answer
    x = 428,201.88

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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.