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Finding the Fourth Proportional to 397,209.27, 595,852.79 and 130,861.11

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Solution

The fourth proportional to 397,209.27, 595,852.79 and 130,861.11 is: 196,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,209.27 : 595,852.79 = 130,861.11 : x
  2. Step 2: Convert to fraction form
    397,209.27/595,852.79 = 130,861.11/x
  3. Step 3: Cross multiply
    397,209.27x = 595,852.79 × 130,861.11
  4. Step 4: Simplify right side
    397,209.27x = 77,973,956,841.69
  5. Step 5: Solve for x
    x = 77,973,956,841.69/397,209.27
  6. Step 6: Final answer
    x = 196,304.47

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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.