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Finding the Fourth Proportional to 311,398.50, 429,836.05 and 193,617.62

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Solution

The fourth proportional to 311,398.50, 429,836.05 and 193,617.62 is: 267,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,398.50 : 429,836.05 = 193,617.62 : x
  2. Step 2: Convert to fraction form
    311,398.50/429,836.05 = 193,617.62/x
  3. Step 3: Cross multiply
    311,398.50x = 429,836.05 × 193,617.62
  4. Step 4: Simplify right side
    311,398.50x = 83,223,832,695.93
  5. Step 5: Solve for x
    x = 83,223,832,695.93/311,398.50
  6. Step 6: Final answer
    x = 267,258.29

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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.