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Finding the Fourth Proportional to 465,824.80, 698,737.20 and 213,104.80

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Solution

The fourth proportional to 465,824.80, 698,737.20 and 213,104.80 is: 319,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,824.80 : 698,737.20 = 213,104.80 : x
  2. Step 2: Convert to fraction form
    465,824.80/698,737.20 = 213,104.80/x
  3. Step 3: Cross multiply
    465,824.80x = 698,737.20 × 213,104.80
  4. Step 4: Simplify right side
    465,824.80x = 148,904,251,258.56
  5. Step 5: Solve for x
    x = 148,904,251,258.56/465,824.80
  6. Step 6: Final answer
    x = 319,657.20

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1.5x scale

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.