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Finding the Fourth Proportional to 415,600.84, 573,263.20 and 288,229.96

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Solution

The fourth proportional to 415,600.84, 573,263.20 and 288,229.96 is: 397,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,600.84 : 573,263.20 = 288,229.96 : x
  2. Step 2: Convert to fraction form
    415,600.84/573,263.20 = 288,229.96/x
  3. Step 3: Cross multiply
    415,600.84x = 573,263.20 × 288,229.96
  4. Step 4: Simplify right side
    415,600.84x = 165,231,629,205.47
  5. Step 5: Solve for x
    x = 165,231,629,205.47/415,600.84
  6. Step 6: Final answer
    x = 397,572.90

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1.5x scale

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.