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Finding the Fourth Proportional to 417,145.06, 625,662.09 and 117,649.69

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Solution

The fourth proportional to 417,145.06, 625,662.09 and 117,649.69 is: 176,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,145.06 : 625,662.09 = 117,649.69 : x
  2. Step 2: Convert to fraction form
    417,145.06/625,662.09 = 117,649.69/x
  3. Step 3: Cross multiply
    417,145.06x = 625,662.09 × 117,649.69
  4. Step 4: Simplify right side
    417,145.06x = 73,608,950,933.25
  5. Step 5: Solve for x
    x = 73,608,950,933.25/417,145.06
  6. Step 6: Final answer
    x = 176,458.88

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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.