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Finding the Fourth Proportional to 417,270.84, 625,629.75 and 150,996.72

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Solution

The fourth proportional to 417,270.84, 625,629.75 and 150,996.72 is: 226,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,270.84 : 625,629.75 = 150,996.72 : x
  2. Step 2: Convert to fraction form
    417,270.84/625,629.75 = 150,996.72/x
  3. Step 3: Cross multiply
    417,270.84x = 625,629.75 × 150,996.72
  4. Step 4: Simplify right side
    417,270.84x = 94,468,040,184.42
  5. Step 5: Solve for x
    x = 94,468,040,184.42/417,270.84
  6. Step 6: Final answer
    x = 226,395.02

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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.