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Finding the Fourth Proportional to 397,209.77, 595,853.54 and 130,861.61

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Solution

The fourth proportional to 397,209.77, 595,853.54 and 130,861.61 is: 196,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,209.77 : 595,853.54 = 130,861.61 : x
  2. Step 2: Convert to fraction form
    397,209.77/595,853.54 = 130,861.61/x
  3. Step 3: Cross multiply
    397,209.77x = 595,853.54 × 130,861.61
  4. Step 4: Simplify right side
    397,209.77x = 77,974,352,914.29
  5. Step 5: Solve for x
    x = 77,974,352,914.29/397,209.77
  6. Step 6: Final answer
    x = 196,305.22

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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.