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Finding the Fourth Proportional to 417,066.58, 625,467.75 and 150,791.86

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Solution

The fourth proportional to 417,066.58, 625,467.75 and 150,791.86 is: 226,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,066.58 : 625,467.75 = 150,791.86 : x
  2. Step 2: Convert to fraction form
    417,066.58/625,467.75 = 150,791.86/x
  3. Step 3: Cross multiply
    417,066.58x = 625,467.75 × 150,791.86
  4. Step 4: Simplify right side
    417,066.58x = 94,315,445,392.52
  5. Step 5: Solve for x
    x = 94,315,445,392.52/417,066.58
  6. Step 6: Final answer
    x = 226,140.02

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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.