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Finding the Fourth Proportional to 411,618.60, 568,060.02 and 230,351.40

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Solution

The fourth proportional to 411,618.60, 568,060.02 and 230,351.40 is: 317,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,618.60 : 568,060.02 = 230,351.40 : x
  2. Step 2: Convert to fraction form
    411,618.60/568,060.02 = 230,351.40/x
  3. Step 3: Cross multiply
    411,618.60x = 568,060.02 × 230,351.40
  4. Step 4: Simplify right side
    411,618.60x = 130,853,420,891.03
  5. Step 5: Solve for x
    x = 130,853,420,891.03/411,618.60
  6. Step 6: Final answer
    x = 317,899.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.