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Finding the Fourth Proportional to 542,832.57, 748,618.20 and 338,902.11

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Solution

The fourth proportional to 542,832.57, 748,618.20 and 338,902.11 is: 467,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,832.57 : 748,618.20 = 338,902.11 : x
  2. Step 2: Convert to fraction form
    542,832.57/748,618.20 = 338,902.11/x
  3. Step 3: Cross multiply
    542,832.57x = 748,618.20 × 338,902.11
  4. Step 4: Simplify right side
    542,832.57x = 253,708,287,564.40
  5. Step 5: Solve for x
    x = 253,708,287,564.40/542,832.57
  6. Step 6: Final answer
    x = 467,378.53

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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.