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Finding the Fourth Proportional to 433,967.85, 650,660.18 and 197,188.65

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Solution

The fourth proportional to 433,967.85, 650,660.18 and 197,188.65 is: 295,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,967.85 : 650,660.18 = 197,188.65 : x
  2. Step 2: Convert to fraction form
    433,967.85/650,660.18 = 197,188.65/x
  3. Step 3: Cross multiply
    433,967.85x = 650,660.18 × 197,188.65
  4. Step 4: Simplify right side
    433,967.85x = 128,302,801,517.01
  5. Step 5: Solve for x
    x = 128,302,801,517.01/433,967.85
  6. Step 6: Final answer
    x = 295,650.48

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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.