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Finding the Fourth Proportional to 322,143.60, 444,780.52 and 201,339.12

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Solution

The fourth proportional to 322,143.60, 444,780.52 and 201,339.12 is: 277,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,143.60 : 444,780.52 = 201,339.12 : x
  2. Step 2: Convert to fraction form
    322,143.60/444,780.52 = 201,339.12/x
  3. Step 3: Cross multiply
    322,143.60x = 444,780.52 × 201,339.12
  4. Step 4: Simplify right side
    322,143.60x = 89,551,718,489.94
  5. Step 5: Solve for x
    x = 89,551,718,489.94/322,143.60
  6. Step 6: Final answer
    x = 277,986.96

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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.