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Finding the Fourth Proportional to 416,664.59, 625,033.80 and 117,147.78

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Solution

The fourth proportional to 416,664.59, 625,033.80 and 117,147.78 is: 175,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,664.59 : 625,033.80 = 117,147.78 : x
  2. Step 2: Convert to fraction form
    416,664.59/625,033.80 = 117,147.78/x
  3. Step 3: Cross multiply
    416,664.59x = 625,033.80 × 117,147.78
  4. Step 4: Simplify right side
    416,664.59x = 73,221,318,384.06
  5. Step 5: Solve for x
    x = 73,221,318,384.06/416,664.59
  6. Step 6: Final answer
    x = 175,732.04

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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.