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Finding the Fourth Proportional to 782,102.04, 1,079,323.56 and 442,563

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Solution

The fourth proportional to 782,102.04, 1,079,323.56 and 442,563 is: 610,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,102.04 : 1,079,323.56 = 442,563 : x
  2. Step 2: Convert to fraction form
    782,102.04/1,079,323.56 = 442,563/x
  3. Step 3: Cross multiply
    782,102.04x = 1,079,323.56 × 442,563
  4. Step 4: Simplify right side
    782,102.04x = 477,668,672,684.28
  5. Step 5: Solve for x
    x = 477,668,672,684.28/782,102.04
  6. Step 6: Final answer
    x = 610,749.81

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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.