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Finding the Fourth Proportional to 417,774.26, 626,685.70 and 118,229.78

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Solution

The fourth proportional to 417,774.26, 626,685.70 and 118,229.78 is: 177,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,774.26 : 626,685.70 = 118,229.78 : x
  2. Step 2: Convert to fraction form
    417,774.26/626,685.70 = 118,229.78/x
  3. Step 3: Cross multiply
    417,774.26x = 626,685.70 × 118,229.78
  4. Step 4: Simplify right side
    417,774.26x = 74,092,912,440.15
  5. Step 5: Solve for x
    x = 74,092,912,440.15/417,774.26
  6. Step 6: Final answer
    x = 177,351.55

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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.