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Finding the Fourth Proportional to 340,306.31, 469,630.91 and 204,345.99

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Solution

The fourth proportional to 340,306.31, 469,630.91 and 204,345.99 is: 282,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,306.31 : 469,630.91 = 204,345.99 : x
  2. Step 2: Convert to fraction form
    340,306.31/469,630.91 = 204,345.99/x
  3. Step 3: Cross multiply
    340,306.31x = 469,630.91 × 204,345.99
  4. Step 4: Simplify right side
    340,306.31x = 95,967,193,749.42
  5. Step 5: Solve for x
    x = 95,967,193,749.42/340,306.31
  6. Step 6: Final answer
    x = 282,002.39

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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.