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Finding the Fourth Proportional to 361,926.78, 543,167.28 and 260,676.18

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Solution

The fourth proportional to 361,926.78, 543,167.28 and 260,676.18 is: 391,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,926.78 : 543,167.28 = 260,676.18 : x
  2. Step 2: Convert to fraction form
    361,926.78/543,167.28 = 260,676.18/x
  3. Step 3: Cross multiply
    361,926.78x = 543,167.28 × 260,676.18
  4. Step 4: Simplify right side
    361,926.78x = 141,590,771,651.39
  5. Step 5: Solve for x
    x = 141,590,771,651.39/361,926.78
  6. Step 6: Final answer
    x = 391,213.86

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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.