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Finding the Fourth Proportional to 314,321.75, 433,773.42 and 193,532.73

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Solution

The fourth proportional to 314,321.75, 433,773.42 and 193,532.73 is: 267,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,321.75 : 433,773.42 = 193,532.73 : x
  2. Step 2: Convert to fraction form
    314,321.75/433,773.42 = 193,532.73/x
  3. Step 3: Cross multiply
    314,321.75x = 433,773.42 × 193,532.73
  4. Step 4: Simplify right side
    314,321.75x = 83,949,354,174.04
  5. Step 5: Solve for x
    x = 83,949,354,174.04/314,321.75
  6. Step 6: Final answer
    x = 267,080.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.