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Finding the Fourth Proportional to 417,079.66, 625,619.49 and 150,777.88

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Solution

The fourth proportional to 417,079.66, 625,619.49 and 150,777.88 is: 226,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,079.66 : 625,619.49 = 150,777.88 : x
  2. Step 2: Convert to fraction form
    417,079.66/625,619.49 = 150,777.88/x
  3. Step 3: Cross multiply
    417,079.66x = 625,619.49 × 150,777.88
  4. Step 4: Simplify right side
    417,079.66x = 94,329,580,388.88
  5. Step 5: Solve for x
    x = 94,329,580,388.88/417,079.66
  6. Step 6: Final answer
    x = 226,166.82

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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.