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Finding the Fourth Proportional to 522,078.80, 781,951.80 and 428,766.80

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Solution

The fourth proportional to 522,078.80, 781,951.80 and 428,766.80 is: 642,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,078.80 : 781,951.80 = 428,766.80 : x
  2. Step 2: Convert to fraction form
    522,078.80/781,951.80 = 428,766.80/x
  3. Step 3: Cross multiply
    522,078.80x = 781,951.80 × 428,766.80
  4. Step 4: Simplify right side
    522,078.80x = 335,274,971,040.24
  5. Step 5: Solve for x
    x = 335,274,971,040.24/522,078.80
  6. Step 6: Final answer
    x = 642,192.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.