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Finding the Fourth Proportional to 389,542.56, 585,341.30 and 209,760.91

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Solution

The fourth proportional to 389,542.56, 585,341.30 and 209,760.91 is: 315,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,542.56 : 585,341.30 = 209,760.91 : x
  2. Step 2: Convert to fraction form
    389,542.56/585,341.30 = 209,760.91/x
  3. Step 3: Cross multiply
    389,542.56x = 585,341.30 × 209,760.91
  4. Step 4: Simplify right side
    389,542.56x = 122,781,723,748.58
  5. Step 5: Solve for x
    x = 122,781,723,748.58/389,542.56
  6. Step 6: Final answer
    x = 315,194.63

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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.