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Finding the Fourth Proportional to 321,535.80, 482,180.13 and 152,926.20

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Solution

The fourth proportional to 321,535.80, 482,180.13 and 152,926.20 is: 229,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,535.80 : 482,180.13 = 152,926.20 : x
  2. Step 2: Convert to fraction form
    321,535.80/482,180.13 = 152,926.20/x
  3. Step 3: Cross multiply
    321,535.80x = 482,180.13 × 152,926.20
  4. Step 4: Simplify right side
    321,535.80x = 73,737,974,996.41
  5. Step 5: Solve for x
    x = 73,737,974,996.41/321,535.80
  6. Step 6: Final answer
    x = 229,330.53

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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.