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Finding the Fourth Proportional to 782,140, 1,079,353.24 and 424,444

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Solution

The fourth proportional to 782,140, 1,079,353.24 and 424,444 is: 585,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,140 : 1,079,353.24 = 424,444 : x
  2. Step 2: Convert to fraction form
    782,140/1,079,353.24 = 424,444/x
  3. Step 3: Cross multiply
    782,140x = 1,079,353.24 × 424,444
  4. Step 4: Simplify right side
    782,140x = 458,125,006,598.56
  5. Step 5: Solve for x
    x = 458,125,006,598.56/782,140
  6. Step 6: Final answer
    x = 585,732.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.