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Finding the Fourth Proportional to 416,672.72, 625,046 and 117,155.91

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Solution

The fourth proportional to 416,672.72, 625,046 and 117,155.91 is: 175,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,672.72 : 625,046 = 117,155.91 : x
  2. Step 2: Convert to fraction form
    416,672.72/625,046 = 117,155.91/x
  3. Step 3: Cross multiply
    416,672.72x = 625,046 × 117,155.91
  4. Step 4: Simplify right side
    416,672.72x = 73,227,832,921.86
  5. Step 5: Solve for x
    x = 73,227,832,921.86/416,672.72
  6. Step 6: Final answer
    x = 175,744.25

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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.