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Finding the Fourth Proportional to 273,724.52, 410,598.30 and 133,601

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Solution

The fourth proportional to 273,724.52, 410,598.30 and 133,601 is: 200,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,724.52 : 410,598.30 = 133,601 : x
  2. Step 2: Convert to fraction form
    273,724.52/410,598.30 = 133,601/x
  3. Step 3: Cross multiply
    273,724.52x = 410,598.30 × 133,601
  4. Step 4: Simplify right side
    273,724.52x = 54,856,343,478.30
  5. Step 5: Solve for x
    x = 54,856,343,478.30/273,724.52
  6. Step 6: Final answer
    x = 200,407.12

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1.5x scale

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.