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Finding the Fourth Proportional to 417,069, 625,652.15 and 150,954.84

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Solution

The fourth proportional to 417,069, 625,652.15 and 150,954.84 is: 226,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,069 : 625,652.15 = 150,954.84 : x
  2. Step 2: Convert to fraction form
    417,069/625,652.15 = 150,954.84/x
  3. Step 3: Cross multiply
    417,069x = 625,652.15 × 150,954.84
  4. Step 4: Simplify right side
    417,069x = 94,445,220,198.91
  5. Step 5: Solve for x
    x = 94,445,220,198.91/417,069
  6. Step 6: Final answer
    x = 226,449.87

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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.