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Finding the Fourth Proportional to 381,695.20, 572,542.80 and 213,733.60

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Solution

The fourth proportional to 381,695.20, 572,542.80 and 213,733.60 is: 320,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,695.20 : 572,542.80 = 213,733.60 : x
  2. Step 2: Convert to fraction form
    381,695.20/572,542.80 = 213,733.60/x
  3. Step 3: Cross multiply
    381,695.20x = 572,542.80 × 213,733.60
  4. Step 4: Simplify right side
    381,695.20x = 122,371,633,798.08
  5. Step 5: Solve for x
    x = 122,371,633,798.08/381,695.20
  6. Step 6: Final answer
    x = 320,600.40

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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.