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Finding the Fourth Proportional to 393,083.28, 542,386.92 and 231,926.16

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Solution

The fourth proportional to 393,083.28, 542,386.92 and 231,926.16 is: 320,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,083.28 : 542,386.92 = 231,926.16 : x
  2. Step 2: Convert to fraction form
    393,083.28/542,386.92 = 231,926.16/x
  3. Step 3: Cross multiply
    393,083.28x = 542,386.92 × 231,926.16
  4. Step 4: Simplify right side
    393,083.28x = 125,793,715,589.83
  5. Step 5: Solve for x
    x = 125,793,715,589.83/393,083.28
  6. Step 6: Final answer
    x = 320,017.98

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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.