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Finding the Fourth Proportional to 327,882.30, 492,042.15 and 150,297.90

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Solution

The fourth proportional to 327,882.30, 492,042.15 and 150,297.90 is: 225,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,882.30 : 492,042.15 = 150,297.90 : x
  2. Step 2: Convert to fraction form
    327,882.30/492,042.15 = 150,297.90/x
  3. Step 3: Cross multiply
    327,882.30x = 492,042.15 × 150,297.90
  4. Step 4: Simplify right side
    327,882.30x = 73,952,901,856.49
  5. Step 5: Solve for x
    x = 73,952,901,856.49/327,882.30
  6. Step 6: Final answer
    x = 225,547.10

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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.