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Finding the Fourth Proportional to 782,282.17, 1,079,364.37 and 442,750.42

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Solution

The fourth proportional to 782,282.17, 1,079,364.37 and 442,750.42 is: 610,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,282.17 : 1,079,364.37 = 442,750.42 : x
  2. Step 2: Convert to fraction form
    782,282.17/1,079,364.37 = 442,750.42/x
  3. Step 3: Cross multiply
    782,282.17x = 1,079,364.37 × 442,750.42
  4. Step 4: Simplify right side
    782,282.17x = 477,889,028,150.54
  5. Step 5: Solve for x
    x = 477,889,028,150.54/782,282.17
  6. Step 6: Final answer
    x = 610,890.86

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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.