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Finding the Fourth Proportional to 298,652.10, 447,752.89 and 180,295.30

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Solution

The fourth proportional to 298,652.10, 447,752.89 and 180,295.30 is: 270,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,652.10 : 447,752.89 = 180,295.30 : x
  2. Step 2: Convert to fraction form
    298,652.10/447,752.89 = 180,295.30/x
  3. Step 3: Cross multiply
    298,652.10x = 447,752.89 × 180,295.30
  4. Step 4: Simplify right side
    298,652.10x = 80,727,741,628.42
  5. Step 5: Solve for x
    x = 80,727,741,628.42/298,652.10
  6. Step 6: Final answer
    x = 270,306.96

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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.