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Finding the Fourth Proportional to 782,158.57, 1,079,378.82 and 424,462.57

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Solution

The fourth proportional to 782,158.57, 1,079,378.82 and 424,462.57 is: 585,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,158.57 : 1,079,378.82 = 424,462.57 : x
  2. Step 2: Convert to fraction form
    782,158.57/1,079,378.82 = 424,462.57/x
  3. Step 3: Cross multiply
    782,158.57x = 1,079,378.82 × 424,462.57
  4. Step 4: Simplify right side
    782,158.57x = 458,155,907,940.77
  5. Step 5: Solve for x
    x = 458,155,907,940.77/782,158.57
  6. Step 6: Final answer
    x = 585,758.34

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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.