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Finding the Fourth Proportional to 293,695.20, 440,542.80 and 200,383.20

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Solution

The fourth proportional to 293,695.20, 440,542.80 and 200,383.20 is: 300,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,695.20 : 440,542.80 = 200,383.20 : x
  2. Step 2: Convert to fraction form
    293,695.20/440,542.80 = 200,383.20/x
  3. Step 3: Cross multiply
    293,695.20x = 440,542.80 × 200,383.20
  4. Step 4: Simplify right side
    293,695.20x = 88,277,376,000.96
  5. Step 5: Solve for x
    x = 88,277,376,000.96/293,695.20
  6. Step 6: Final answer
    x = 300,574.80

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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.