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Finding the Fourth Proportional to 353,514, 487,768.48 and 200,515.68

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Solution

The fourth proportional to 353,514, 487,768.48 and 200,515.68 is: 276,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,514 : 487,768.48 = 200,515.68 : x
  2. Step 2: Convert to fraction form
    353,514/487,768.48 = 200,515.68/x
  3. Step 3: Cross multiply
    353,514x = 487,768.48 × 200,515.68
  4. Step 4: Simplify right side
    353,514x = 97,805,228,449.77
  5. Step 5: Solve for x
    x = 97,805,228,449.77/353,514
  6. Step 6: Final answer
    x = 276,665.79

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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.