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Finding the Fourth Proportional to 416,664.90, 625,034.27 and 117,148.09

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Solution

The fourth proportional to 416,664.90, 625,034.27 and 117,148.09 is: 175,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,664.90 : 625,034.27 = 117,148.09 : x
  2. Step 2: Convert to fraction form
    416,664.90/625,034.27 = 117,148.09/x
  3. Step 3: Cross multiply
    416,664.90x = 625,034.27 × 117,148.09
  4. Step 4: Simplify right side
    416,664.90x = 73,221,570,915.04
  5. Step 5: Solve for x
    x = 73,221,570,915.04/416,664.90
  6. Step 6: Final answer
    x = 175,732.52

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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.