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Finding the Fourth Proportional to 409,589.20, 613,986.82 and 156,674.93

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Solution

The fourth proportional to 409,589.20, 613,986.82 and 156,674.93 is: 234,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,589.20 : 613,986.82 = 156,674.93 : x
  2. Step 2: Convert to fraction form
    409,589.20/613,986.82 = 156,674.93/x
  3. Step 3: Cross multiply
    409,589.20x = 613,986.82 × 156,674.93
  4. Step 4: Simplify right side
    409,589.20x = 96,196,342,044.42
  5. Step 5: Solve for x
    x = 96,196,342,044.42/409,589.20
  6. Step 6: Final answer
    x = 234,860.54

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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.