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Finding the Fourth Proportional to 408,049.65, 611,473.05 and 295,965.90

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Solution

The fourth proportional to 408,049.65, 611,473.05 and 295,965.90 is: 443,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.65 : 611,473.05 = 295,965.90 : x
  2. Step 2: Convert to fraction form
    408,049.65/611,473.05 = 295,965.90/x
  3. Step 3: Cross multiply
    408,049.65x = 611,473.05 × 295,965.90
  4. Step 4: Simplify right side
    408,049.65x = 180,975,171,569.00
  5. Step 5: Solve for x
    x = 180,975,171,569.00/408,049.65
  6. Step 6: Final answer
    x = 443,512.63

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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.