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Finding the Fourth Proportional to 466,156.16, 699,234.88 and 199,744

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Solution

The fourth proportional to 466,156.16, 699,234.88 and 199,744 is: 299,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,156.16 : 699,234.88 = 199,744 : x
  2. Step 2: Convert to fraction form
    466,156.16/699,234.88 = 199,744/x
  3. Step 3: Cross multiply
    466,156.16x = 699,234.88 × 199,744
  4. Step 4: Simplify right side
    466,156.16x = 139,667,971,870.72
  5. Step 5: Solve for x
    x = 139,667,971,870.72/466,156.16
  6. Step 6: Final answer
    x = 299,616.27

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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.