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Finding the Fourth Proportional to 319,231.80, 478,809.30 and 132,223.80

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Solution

The fourth proportional to 319,231.80, 478,809.30 and 132,223.80 is: 198,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,231.80 : 478,809.30 = 132,223.80 : x
  2. Step 2: Convert to fraction form
    319,231.80/478,809.30 = 132,223.80/x
  3. Step 3: Cross multiply
    319,231.80x = 478,809.30 × 132,223.80
  4. Step 4: Simplify right side
    319,231.80x = 63,309,985,121.34
  5. Step 5: Solve for x
    x = 63,309,985,121.34/319,231.80
  6. Step 6: Final answer
    x = 198,319.79

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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.