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Finding the Fourth Proportional to 472,471.80, 708,254.10 and 156,766.20

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Solution

The fourth proportional to 472,471.80, 708,254.10 and 156,766.20 is: 234,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,471.80 : 708,254.10 = 156,766.20 : x
  2. Step 2: Convert to fraction form
    472,471.80/708,254.10 = 156,766.20/x
  3. Step 3: Cross multiply
    472,471.80x = 708,254.10 × 156,766.20
  4. Step 4: Simplify right side
    472,471.80x = 111,030,303,891.42
  5. Step 5: Solve for x
    x = 111,030,303,891.42/472,471.80
  6. Step 6: Final answer
    x = 234,998.80

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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.