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Finding the Fourth Proportional to 472,011.12, 707,754.18 and 156,295.80

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Solution

The fourth proportional to 472,011.12, 707,754.18 and 156,295.80 is: 234,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,011.12 : 707,754.18 = 156,295.80 : x
  2. Step 2: Convert to fraction form
    472,011.12/707,754.18 = 156,295.80/x
  3. Step 3: Cross multiply
    472,011.12x = 707,754.18 × 156,295.80
  4. Step 4: Simplify right side
    472,011.12x = 110,619,005,766.44
  5. Step 5: Solve for x
    x = 110,619,005,766.44/472,011.12
  6. Step 6: Final answer
    x = 234,356.78

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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.