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Finding the Fourth Proportional to 417,182.22, 625,496.85 and 150,907.68

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Solution

The fourth proportional to 417,182.22, 625,496.85 and 150,907.68 is: 226,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,182.22 : 625,496.85 = 150,907.68 : x
  2. Step 2: Convert to fraction form
    417,182.22/625,496.85 = 150,907.68/x
  3. Step 3: Cross multiply
    417,182.22x = 625,496.85 × 150,907.68
  4. Step 4: Simplify right side
    417,182.22x = 94,392,278,480.81
  5. Step 5: Solve for x
    x = 94,392,278,480.81/417,182.22
  6. Step 6: Final answer
    x = 226,261.51

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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.