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Finding the Fourth Proportional to 417,838.62, 626,882.94 and 165,154.80

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Solution

The fourth proportional to 417,838.62, 626,882.94 and 165,154.80 is: 247,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,838.62 : 626,882.94 = 165,154.80 : x
  2. Step 2: Convert to fraction form
    417,838.62/626,882.94 = 165,154.80/x
  3. Step 3: Cross multiply
    417,838.62x = 626,882.94 × 165,154.80
  4. Step 4: Simplify right side
    417,838.62x = 103,532,726,579.11
  5. Step 5: Solve for x
    x = 103,532,726,579.11/417,838.62
  6. Step 6: Final answer
    x = 247,781.61

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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.