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Finding the Fourth Proportional to 372,314.84, 513,778.28 and 206,732.49

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Solution

The fourth proportional to 372,314.84, 513,778.28 and 206,732.49 is: 285,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,314.84 : 513,778.28 = 206,732.49 : x
  2. Step 2: Convert to fraction form
    372,314.84/513,778.28 = 206,732.49/x
  3. Step 3: Cross multiply
    372,314.84x = 513,778.28 × 206,732.49
  4. Step 4: Simplify right side
    372,314.84x = 106,214,662,873.90
  5. Step 5: Solve for x
    x = 106,214,662,873.90/372,314.84
  6. Step 6: Final answer
    x = 285,281.84

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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.