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Finding the Fourth Proportional to 298,960.65, 448,217.78 and 180,607.05

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Solution

The fourth proportional to 298,960.65, 448,217.78 and 180,607.05 is: 270,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,960.65 : 448,217.78 = 180,607.05 : x
  2. Step 2: Convert to fraction form
    298,960.65/448,217.78 = 180,607.05/x
  3. Step 3: Cross multiply
    298,960.65x = 448,217.78 × 180,607.05
  4. Step 4: Simplify right side
    298,960.65x = 80,951,290,100.31
  5. Step 5: Solve for x
    x = 80,951,290,100.31/298,960.65
  6. Step 6: Final answer
    x = 270,775.74

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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.