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Finding the Fourth Proportional to 522,046.30, 781,903.05 and 428,734.30

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Solution

The fourth proportional to 522,046.30, 781,903.05 and 428,734.30 is: 642,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,046.30 : 781,903.05 = 428,734.30 : x
  2. Step 2: Convert to fraction form
    522,046.30/781,903.05 = 428,734.30/x
  3. Step 3: Cross multiply
    522,046.30x = 781,903.05 × 428,734.30
  4. Step 4: Simplify right side
    522,046.30x = 335,228,656,809.62
  5. Step 5: Solve for x
    x = 335,228,656,809.62/522,046.30
  6. Step 6: Final answer
    x = 642,143.54

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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.