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Finding the Fourth Proportional to 568,971, 853,876.32 and 269,451

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Solution

The fourth proportional to 568,971, 853,876.32 and 269,451 is: 404,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,971 : 853,876.32 = 269,451 : x
  2. Step 2: Convert to fraction form
    568,971/853,876.32 = 269,451/x
  3. Step 3: Cross multiply
    568,971x = 853,876.32 × 269,451
  4. Step 4: Simplify right side
    568,971x = 230,077,828,300.32
  5. Step 5: Solve for x
    x = 230,077,828,300.32/568,971
  6. Step 6: Final answer
    x = 404,375.32

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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.