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Finding the Fourth Proportional to 782,002, 1,079,168.52 and 424,306

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Solution

The fourth proportional to 782,002, 1,079,168.52 and 424,306 is: 585,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,002 : 1,079,168.52 = 424,306 : x
  2. Step 2: Convert to fraction form
    782,002/1,079,168.52 = 424,306/x
  3. Step 3: Cross multiply
    782,002x = 1,079,168.52 × 424,306
  4. Step 4: Simplify right side
    782,002x = 457,897,678,047.12
  5. Step 5: Solve for x
    x = 457,897,678,047.12/782,002
  6. Step 6: Final answer
    x = 585,545.41

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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.