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Finding the Fourth Proportional to 416,789.64, 625,111.92 and 117,199.08

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Solution

The fourth proportional to 416,789.64, 625,111.92 and 117,199.08 is: 175,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,789.64 : 625,111.92 = 117,199.08 : x
  2. Step 2: Convert to fraction form
    416,789.64/625,111.92 = 117,199.08/x
  3. Step 3: Cross multiply
    416,789.64x = 625,111.92 × 117,199.08
  4. Step 4: Simplify right side
    416,789.64x = 73,262,541,921.03
  5. Step 5: Solve for x
    x = 73,262,541,921.03/416,789.64
  6. Step 6: Final answer
    x = 175,778.22

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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.