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Finding the Fourth Proportional to 782,134.76, 1,079,346.66 and 424,438.76

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Solution

The fourth proportional to 782,134.76, 1,079,346.66 and 424,438.76 is: 585,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,134.76 : 1,079,346.66 = 424,438.76 : x
  2. Step 2: Convert to fraction form
    782,134.76/1,079,346.66 = 424,438.76/x
  3. Step 3: Cross multiply
    782,134.76x = 1,079,346.66 × 424,438.76
  4. Step 4: Simplify right side
    782,134.76x = 458,116,557,980.54
  5. Step 5: Solve for x
    x = 458,116,557,980.54/782,134.76
  6. Step 6: Final answer
    x = 585,725.86

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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.