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Finding the Fourth Proportional to 276,816.04, 415,224.30 and 198,084.04

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Solution

The fourth proportional to 276,816.04, 415,224.30 and 198,084.04 is: 297,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,816.04 : 415,224.30 = 198,084.04 : x
  2. Step 2: Convert to fraction form
    276,816.04/415,224.30 = 198,084.04/x
  3. Step 3: Cross multiply
    276,816.04x = 415,224.30 × 198,084.04
  4. Step 4: Simplify right side
    276,816.04x = 82,249,306,850.17
  5. Step 5: Solve for x
    x = 82,249,306,850.17/276,816.04
  6. Step 6: Final answer
    x = 297,126.23

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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.