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Finding the Fourth Proportional to 416,971.75, 625,496.58 and 117,451.85

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Solution

The fourth proportional to 416,971.75, 625,496.58 and 117,451.85 is: 176,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.75 : 625,496.58 = 117,451.85 : x
  2. Step 2: Convert to fraction form
    416,971.75/625,496.58 = 117,451.85/x
  3. Step 3: Cross multiply
    416,971.75x = 625,496.58 × 117,451.85
  4. Step 4: Simplify right side
    416,971.75x = 73,465,729,121.40
  5. Step 5: Solve for x
    x = 73,465,729,121.40/416,971.75
  6. Step 6: Final answer
    x = 176,188.74

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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.