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Finding the Fourth Proportional to 522,040.80, 781,894.80 and 428,728.80

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Solution

The fourth proportional to 522,040.80, 781,894.80 and 428,728.80 is: 642,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,040.80 : 781,894.80 = 428,728.80 : x
  2. Step 2: Convert to fraction form
    522,040.80/781,894.80 = 428,728.80/x
  3. Step 3: Cross multiply
    522,040.80x = 781,894.80 × 428,728.80
  4. Step 4: Simplify right side
    522,040.80x = 335,220,819,330.24
  5. Step 5: Solve for x
    x = 335,220,819,330.24/522,040.80
  6. Step 6: Final answer
    x = 642,135.29

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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.