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Finding the Fourth Proportional to 382,990.50, 574,748.24 and 133,672.50

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Solution

The fourth proportional to 382,990.50, 574,748.24 and 133,672.50 is: 200,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,990.50 : 574,748.24 = 133,672.50 : x
  2. Step 2: Convert to fraction form
    382,990.50/574,748.24 = 133,672.50/x
  3. Step 3: Cross multiply
    382,990.50x = 574,748.24 × 133,672.50
  4. Step 4: Simplify right side
    382,990.50x = 76,828,033,443.04
  5. Step 5: Solve for x
    x = 76,828,033,443.04/382,990.50
  6. Step 6: Final answer
    x = 200,600.36

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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.