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Finding the Fourth Proportional to 565,169.67, 847,720.18 and 200,449.35

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Solution

The fourth proportional to 565,169.67, 847,720.18 and 200,449.35 is: 300,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,169.67 : 847,720.18 = 200,449.35 : x
  2. Step 2: Convert to fraction form
    565,169.67/847,720.18 = 200,449.35/x
  3. Step 3: Cross multiply
    565,169.67x = 847,720.18 × 200,449.35
  4. Step 4: Simplify right side
    565,169.67x = 169,924,959,313.45
  5. Step 5: Solve for x
    x = 169,924,959,313.45/565,169.67
  6. Step 6: Final answer
    x = 300,661.85

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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.