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Finding the Fourth Proportional to 273,657.50, 410,149.29 and 194,342.30

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Solution

The fourth proportional to 273,657.50, 410,149.29 and 194,342.30 is: 291,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,657.50 : 410,149.29 = 194,342.30 : x
  2. Step 2: Convert to fraction form
    273,657.50/410,149.29 = 194,342.30/x
  3. Step 3: Cross multiply
    273,657.50x = 410,149.29 × 194,342.30
  4. Step 4: Simplify right side
    273,657.50x = 79,709,356,361.97
  5. Step 5: Solve for x
    x = 79,709,356,361.97/273,657.50
  6. Step 6: Final answer
    x = 291,274.15

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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.