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Finding the Fourth Proportional to 397,712.13, 596,661.59 and 131,472.62

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Solution

The fourth proportional to 397,712.13, 596,661.59 and 131,472.62 is: 197,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.13 : 596,661.59 = 131,472.62 : x
  2. Step 2: Convert to fraction form
    397,712.13/596,661.59 = 131,472.62/x
  3. Step 3: Cross multiply
    397,712.13x = 596,661.59 × 131,472.62
  4. Step 4: Simplify right side
    397,712.13x = 78,444,662,073.52
  5. Step 5: Solve for x
    x = 78,444,662,073.52/397,712.13
  6. Step 6: Final answer
    x = 197,239.80

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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.