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Finding the Fourth Proportional to 273,591.24, 410,531.32 and 194,142.60

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Solution

The fourth proportional to 273,591.24, 410,531.32 and 194,142.60 is: 291,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,591.24 : 410,531.32 = 194,142.60 : x
  2. Step 2: Convert to fraction form
    273,591.24/410,531.32 = 194,142.60/x
  3. Step 3: Cross multiply
    273,591.24x = 410,531.32 × 194,142.60
  4. Step 4: Simplify right side
    273,591.24x = 79,701,617,846.23
  5. Step 5: Solve for x
    x = 79,701,617,846.23/273,591.24
  6. Step 6: Final answer
    x = 291,316.41

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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.