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Finding the Fourth Proportional to 393,909.57, 542,836.76 and 286,309.17

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Solution

The fourth proportional to 393,909.57, 542,836.76 and 286,309.17 is: 394,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909.57 : 542,836.76 = 286,309.17 : x
  2. Step 2: Convert to fraction form
    393,909.57/542,836.76 = 286,309.17/x
  3. Step 3: Cross multiply
    393,909.57x = 542,836.76 × 286,309.17
  4. Step 4: Simplify right side
    393,909.57x = 155,419,140,769.54
  5. Step 5: Solve for x
    x = 155,419,140,769.54/393,909.57
  6. Step 6: Final answer
    x = 394,555.38

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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.