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Finding the Fourth Proportional to 417,072.08, 625,476 and 150,797.36

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Solution

The fourth proportional to 417,072.08, 625,476 and 150,797.36 is: 226,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,072.08 : 625,476 = 150,797.36 : x
  2. Step 2: Convert to fraction form
    417,072.08/625,476 = 150,797.36/x
  3. Step 3: Cross multiply
    417,072.08x = 625,476 × 150,797.36
  4. Step 4: Simplify right side
    417,072.08x = 94,320,129,543.36
  5. Step 5: Solve for x
    x = 94,320,129,543.36/417,072.08
  6. Step 6: Final answer
    x = 226,148.27

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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.