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Finding the Fourth Proportional to 382,687.20, 573,719.76 and 133,544.16

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Solution

The fourth proportional to 382,687.20, 573,719.76 and 133,544.16 is: 200,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,687.20 : 573,719.76 = 133,544.16 : x
  2. Step 2: Convert to fraction form
    382,687.20/573,719.76 = 133,544.16/x
  3. Step 3: Cross multiply
    382,687.20x = 573,719.76 × 133,544.16
  4. Step 4: Simplify right side
    382,687.20x = 76,616,923,424.60
  5. Step 5: Solve for x
    x = 76,616,923,424.60/382,687.20
  6. Step 6: Final answer
    x = 200,207.70

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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.