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Finding the Fourth Proportional to 411,830.16, 568,335.87 and 230,540.64

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Solution

The fourth proportional to 411,830.16, 568,335.87 and 230,540.64 is: 318,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,830.16 : 568,335.87 = 230,540.64 : x
  2. Step 2: Convert to fraction form
    411,830.16/568,335.87 = 230,540.64/x
  3. Step 3: Cross multiply
    411,830.16x = 568,335.87 × 230,540.64
  4. Step 4: Simplify right side
    411,830.16x = 131,024,515,204.76
  5. Step 5: Solve for x
    x = 131,024,515,204.76/411,830.16
  6. Step 6: Final answer
    x = 318,151.82

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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.