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Finding the Fourth Proportional to 397,882.28, 596,605.30 and 157,752.92

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Solution

The fourth proportional to 397,882.28, 596,605.30 and 157,752.92 is: 236,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,882.28 : 596,605.30 = 157,752.92 : x
  2. Step 2: Convert to fraction form
    397,882.28/596,605.30 = 157,752.92/x
  3. Step 3: Cross multiply
    397,882.28x = 596,605.30 × 157,752.92
  4. Step 4: Simplify right side
    397,882.28x = 94,116,228,162.48
  5. Step 5: Solve for x
    x = 94,116,228,162.48/397,882.28
  6. Step 6: Final answer
    x = 236,542.90

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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.