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Finding the Fourth Proportional to 411,956.62, 618,023.16 and 127,640.88

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Solution

The fourth proportional to 411,956.62, 618,023.16 and 127,640.88 is: 191,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,956.62 : 618,023.16 = 127,640.88 : x
  2. Step 2: Convert to fraction form
    411,956.62/618,023.16 = 127,640.88/x
  3. Step 3: Cross multiply
    411,956.62x = 618,023.16 × 127,640.88
  4. Step 4: Simplify right side
    411,956.62x = 78,885,020,002.78
  5. Step 5: Solve for x
    x = 78,885,020,002.78/411,956.62
  6. Step 6: Final answer
    x = 191,488.66

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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.