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Finding the Fourth Proportional to 397,422.20, 596,133.47 and 97,908.61

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Solution

The fourth proportional to 397,422.20, 596,133.47 and 97,908.61 is: 146,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,422.20 : 596,133.47 = 97,908.61 : x
  2. Step 2: Convert to fraction form
    397,422.20/596,133.47 = 97,908.61/x
  3. Step 3: Cross multiply
    397,422.20x = 596,133.47 × 97,908.61
  4. Step 4: Simplify right side
    397,422.20x = 58,366,597,442.30
  5. Step 5: Solve for x
    x = 58,366,597,442.30/397,422.20
  6. Step 6: Final answer
    x = 146,862.95

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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.