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Finding the Fourth Proportional to 416,745.98, 625,155.78 and 117,229.04

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Solution

The fourth proportional to 416,745.98, 625,155.78 and 117,229.04 is: 175,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,745.98 : 625,155.78 = 117,229.04 : x
  2. Step 2: Convert to fraction form
    416,745.98/625,155.78 = 117,229.04/x
  3. Step 3: Cross multiply
    416,745.98x = 625,155.78 × 117,229.04
  4. Step 4: Simplify right side
    416,745.98x = 73,286,411,939.85
  5. Step 5: Solve for x
    x = 73,286,411,939.85/416,745.98
  6. Step 6: Final answer
    x = 175,853.91

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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.