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Finding the Fourth Proportional to 417,733.80, 626,437.24 and 147,757.61

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Solution

The fourth proportional to 417,733.80, 626,437.24 and 147,757.61 is: 221,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,733.80 : 626,437.24 = 147,757.61 : x
  2. Step 2: Convert to fraction form
    417,733.80/626,437.24 = 147,757.61/x
  3. Step 3: Cross multiply
    417,733.80x = 626,437.24 × 147,757.61
  4. Step 4: Simplify right side
    417,733.80x = 92,560,868,244.96
  5. Step 5: Solve for x
    x = 92,560,868,244.96/417,733.80
  6. Step 6: Final answer
    x = 221,578.59

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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.