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Finding the Fourth Proportional to 374,651.52, 517,023.18 and 204,882

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Solution

The fourth proportional to 374,651.52, 517,023.18 and 204,882 is: 282,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,651.52 : 517,023.18 = 204,882 : x
  2. Step 2: Convert to fraction form
    374,651.52/517,023.18 = 204,882/x
  3. Step 3: Cross multiply
    374,651.52x = 517,023.18 × 204,882
  4. Step 4: Simplify right side
    374,651.52x = 105,928,743,164.76
  5. Step 5: Solve for x
    x = 105,928,743,164.76/374,651.52
  6. Step 6: Final answer
    x = 282,739.39

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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.