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Finding the Fourth Proportional to 567,514.43, 783,175.98 and 312,874.73

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Solution

The fourth proportional to 567,514.43, 783,175.98 and 312,874.73 is: 431,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,514.43 : 783,175.98 = 312,874.73 : x
  2. Step 2: Convert to fraction form
    567,514.43/783,175.98 = 312,874.73/x
  3. Step 3: Cross multiply
    567,514.43x = 783,175.98 × 312,874.73
  4. Step 4: Simplify right side
    567,514.43x = 245,035,973,284.99
  5. Step 5: Solve for x
    x = 245,035,973,284.99/567,514.43
  6. Step 6: Final answer
    x = 431,770.47

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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.