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Finding the Fourth Proportional to 267,884.20, 402,287.10 and 189,548.20

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Solution

The fourth proportional to 267,884.20, 402,287.10 and 189,548.20 is: 284,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,884.20 : 402,287.10 = 189,548.20 : x
  2. Step 2: Convert to fraction form
    267,884.20/402,287.10 = 189,548.20/x
  3. Step 3: Cross multiply
    267,884.20x = 402,287.10 × 189,548.20
  4. Step 4: Simplify right side
    267,884.20x = 76,252,795,688.22
  5. Step 5: Solve for x
    x = 76,252,795,688.22/267,884.20
  6. Step 6: Final answer
    x = 284,648.35

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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.