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Finding the Fourth Proportional to 417,158.06, 625,365.94 and 150,859.40

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Solution

The fourth proportional to 417,158.06, 625,365.94 and 150,859.40 is: 226,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,158.06 : 625,365.94 = 150,859.40 : x
  2. Step 2: Convert to fraction form
    417,158.06/625,365.94 = 150,859.40/x
  3. Step 3: Cross multiply
    417,158.06x = 625,365.94 × 150,859.40
  4. Step 4: Simplify right side
    417,158.06x = 94,342,330,488.84
  5. Step 5: Solve for x
    x = 94,342,330,488.84/417,158.06
  6. Step 6: Final answer
    x = 226,154.88

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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.