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Finding the Fourth Proportional to 394,565.80, 591,411.30 and 217,200.10

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Solution

The fourth proportional to 394,565.80, 591,411.30 and 217,200.10 is: 325,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,565.80 : 591,411.30 = 217,200.10 : x
  2. Step 2: Convert to fraction form
    394,565.80/591,411.30 = 217,200.10/x
  3. Step 3: Cross multiply
    394,565.80x = 591,411.30 × 217,200.10
  4. Step 4: Simplify right side
    394,565.80x = 128,454,593,501.13
  5. Step 5: Solve for x
    x = 128,454,593,501.13/394,565.80
  6. Step 6: Final answer
    x = 325,559.37

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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.