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Finding the Fourth Proportional to 782,283.17, 1,079,365.75 and 442,751.42

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Solution

The fourth proportional to 782,283.17, 1,079,365.75 and 442,751.42 is: 610,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,283.17 : 1,079,365.75 = 442,751.42 : x
  2. Step 2: Convert to fraction form
    782,283.17/1,079,365.75 = 442,751.42/x
  3. Step 3: Cross multiply
    782,283.17x = 1,079,365.75 × 442,751.42
  4. Step 4: Simplify right side
    782,283.17x = 477,890,718,511.87
  5. Step 5: Solve for x
    x = 477,890,718,511.87/782,283.17
  6. Step 6: Final answer
    x = 610,892.24

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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.