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Finding the Fourth Proportional to 234,284.97, 323,071.59 and 200,405.61

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Solution

The fourth proportional to 234,284.97, 323,071.59 and 200,405.61 is: 276,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,284.97 : 323,071.59 = 200,405.61 : x
  2. Step 2: Convert to fraction form
    234,284.97/323,071.59 = 200,405.61/x
  3. Step 3: Cross multiply
    234,284.97x = 323,071.59 × 200,405.61
  4. Step 4: Simplify right side
    234,284.97x = 64,745,359,067.62
  5. Step 5: Solve for x
    x = 64,745,359,067.62/234,284.97
  6. Step 6: Final answer
    x = 276,353.02

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1.5x scale

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.