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Finding the Fourth Proportional to 542,796.36, 748,568.70 and 338,866.17

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Solution

The fourth proportional to 542,796.36, 748,568.70 and 338,866.17 is: 467,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,796.36 : 748,568.70 = 338,866.17 : x
  2. Step 2: Convert to fraction form
    542,796.36/748,568.70 = 338,866.17/x
  3. Step 3: Cross multiply
    542,796.36x = 748,568.70 × 338,866.17
  4. Step 4: Simplify right side
    542,796.36x = 253,664,608,350.88
  5. Step 5: Solve for x
    x = 253,664,608,350.88/542,796.36
  6. Step 6: Final answer
    x = 467,329.24

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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.