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Finding the Fourth Proportional to 782,102.52, 1,079,301.46 and 424,406.52

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Solution

The fourth proportional to 782,102.52, 1,079,301.46 and 424,406.52 is: 585,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,102.52 : 1,079,301.46 = 424,406.52 : x
  2. Step 2: Convert to fraction form
    782,102.52/1,079,301.46 = 424,406.52/x
  3. Step 3: Cross multiply
    782,102.52x = 1,079,301.46 × 424,406.52
  4. Step 4: Simplify right side
    782,102.52x = 458,062,576,669.52
  5. Step 5: Solve for x
    x = 458,062,576,669.52/782,102.52
  6. Step 6: Final answer
    x = 585,680.99

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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.