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Finding the Fourth Proportional to 417,227.62, 625,564.89 and 150,953.50

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Solution

The fourth proportional to 417,227.62, 625,564.89 and 150,953.50 is: 226,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,227.62 : 625,564.89 = 150,953.50 : x
  2. Step 2: Convert to fraction form
    417,227.62/625,564.89 = 150,953.50/x
  3. Step 3: Cross multiply
    417,227.62x = 625,564.89 × 150,953.50
  4. Step 4: Simplify right side
    417,227.62x = 94,431,209,622.62
  5. Step 5: Solve for x
    x = 94,431,209,622.62/417,227.62
  6. Step 6: Final answer
    x = 226,330.20

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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.