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Finding the Fourth Proportional to 417,287.56, 625,774.20 and 150,982.24

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Solution

The fourth proportional to 417,287.56, 625,774.20 and 150,982.24 is: 226,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,287.56 : 625,774.20 = 150,982.24 : x
  2. Step 2: Convert to fraction form
    417,287.56/625,774.20 = 150,982.24/x
  3. Step 3: Cross multiply
    417,287.56x = 625,774.20 × 150,982.24
  4. Step 4: Simplify right side
    417,287.56x = 94,480,790,450.21
  5. Step 5: Solve for x
    x = 94,480,790,450.21/417,287.56
  6. Step 6: Final answer
    x = 226,416.50

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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.