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Finding the Fourth Proportional to 217,480.80, 325,832.40 and 177,823.20

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Solution

The fourth proportional to 217,480.80, 325,832.40 and 177,823.20 is: 266,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,480.80 : 325,832.40 = 177,823.20 : x
  2. Step 2: Convert to fraction form
    217,480.80/325,832.40 = 177,823.20/x
  3. Step 3: Cross multiply
    217,480.80x = 325,832.40 × 177,823.20
  4. Step 4: Simplify right side
    217,480.80x = 57,940,560,031.68
  5. Step 5: Solve for x
    x = 57,940,560,031.68/217,480.80
  6. Step 6: Final answer
    x = 266,416.90

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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.