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Finding the Fourth Proportional to 381,805.60, 572,708.40 and 204,221.20

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Solution

The fourth proportional to 381,805.60, 572,708.40 and 204,221.20 is: 306,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,805.60 : 572,708.40 = 204,221.20 : x
  2. Step 2: Convert to fraction form
    381,805.60/572,708.40 = 204,221.20/x
  3. Step 3: Cross multiply
    381,805.60x = 572,708.40 × 204,221.20
  4. Step 4: Simplify right side
    381,805.60x = 116,959,196,698.08
  5. Step 5: Solve for x
    x = 116,959,196,698.08/381,805.60
  6. Step 6: Final answer
    x = 306,331.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.