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Finding the Fourth Proportional to 667,734.48, 1,001,766 and 194,424.24

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Solution

The fourth proportional to 667,734.48, 1,001,766 and 194,424.24 is: 291,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,734.48 : 1,001,766 = 194,424.24 : x
  2. Step 2: Convert to fraction form
    667,734.48/1,001,766 = 194,424.24/x
  3. Step 3: Cross multiply
    667,734.48x = 1,001,766 × 194,424.24
  4. Step 4: Simplify right side
    667,734.48x = 194,767,593,207.84
  5. Step 5: Solve for x
    x = 194,767,593,207.84/667,734.48
  6. Step 6: Final answer
    x = 291,684.19

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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.