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Finding the Fourth Proportional to 321,148.32, 443,209.68 and 177,921.60

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Solution

The fourth proportional to 321,148.32, 443,209.68 and 177,921.60 is: 245,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,148.32 : 443,209.68 = 177,921.60 : x
  2. Step 2: Convert to fraction form
    321,148.32/443,209.68 = 177,921.60/x
  3. Step 3: Cross multiply
    321,148.32x = 443,209.68 × 177,921.60
  4. Step 4: Simplify right side
    321,148.32x = 78,856,575,401.09
  5. Step 5: Solve for x
    x = 78,856,575,401.09/321,148.32
  6. Step 6: Final answer
    x = 245,545.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.