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Finding the Fourth Proportional to 273,642.60, 410,463.90 and 261,978.60

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Solution

The fourth proportional to 273,642.60, 410,463.90 and 261,978.60 is: 392,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,642.60 : 410,463.90 = 261,978.60 : x
  2. Step 2: Convert to fraction form
    273,642.60/410,463.90 = 261,978.60/x
  3. Step 3: Cross multiply
    273,642.60x = 410,463.90 × 261,978.60
  4. Step 4: Simplify right side
    273,642.60x = 107,532,757,872.54
  5. Step 5: Solve for x
    x = 107,532,757,872.54/273,642.60
  6. Step 6: Final answer
    x = 392,967.90

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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.