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Finding the Fourth Proportional to 664,334.20, 996,209.70 and 264,842.20

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Solution

The fourth proportional to 664,334.20, 996,209.70 and 264,842.20 is: 397,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,334.20 : 996,209.70 = 264,842.20 : x
  2. Step 2: Convert to fraction form
    664,334.20/996,209.70 = 264,842.20/x
  3. Step 3: Cross multiply
    664,334.20x = 996,209.70 × 264,842.20
  4. Step 4: Simplify right side
    664,334.20x = 263,838,368,609.34
  5. Step 5: Solve for x
    x = 263,838,368,609.34/664,334.20
  6. Step 6: Final answer
    x = 397,147.05

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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.