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Finding the Fourth Proportional to 381,803.80, 572,705.70 and 213,842.20

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Solution

The fourth proportional to 381,803.80, 572,705.70 and 213,842.20 is: 320,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,803.80 : 572,705.70 = 213,842.20 : x
  2. Step 2: Convert to fraction form
    381,803.80/572,705.70 = 213,842.20/x
  3. Step 3: Cross multiply
    381,803.80x = 572,705.70 × 213,842.20
  4. Step 4: Simplify right side
    381,803.80x = 122,468,646,840.54
  5. Step 5: Solve for x
    x = 122,468,646,840.54/381,803.80
  6. Step 6: Final answer
    x = 320,763.30

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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.