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Finding the Fourth Proportional to 416,932.88, 625,436.22 and 117,416.12

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Solution

The fourth proportional to 416,932.88, 625,436.22 and 117,416.12 is: 176,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,932.88 : 625,436.22 = 117,416.12 : x
  2. Step 2: Convert to fraction form
    416,932.88/625,436.22 = 117,416.12/x
  3. Step 3: Cross multiply
    416,932.88x = 625,436.22 × 117,416.12
  4. Step 4: Simplify right side
    416,932.88x = 73,436,294,259.87
  5. Step 5: Solve for x
    x = 73,436,294,259.87/416,932.88
  6. Step 6: Final answer
    x = 176,134.57

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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.