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Finding the Fourth Proportional to 416,748.51, 625,049.87 and 117,157.86

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Solution

The fourth proportional to 416,748.51, 625,049.87 and 117,157.86 is: 175,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,748.51 : 625,049.87 = 117,157.86 : x
  2. Step 2: Convert to fraction form
    416,748.51/625,049.87 = 117,157.86/x
  3. Step 3: Cross multiply
    416,748.51x = 625,049.87 × 117,157.86
  4. Step 4: Simplify right side
    416,748.51x = 73,229,504,576.69
  5. Step 5: Solve for x
    x = 73,229,504,576.69/416,748.51
  6. Step 6: Final answer
    x = 175,716.30

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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.