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Finding the Fourth Proportional to 463,107.28, 639,114.96 and 259,156.42

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Solution

The fourth proportional to 463,107.28, 639,114.96 and 259,156.42 is: 357,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,107.28 : 639,114.96 = 259,156.42 : x
  2. Step 2: Convert to fraction form
    463,107.28/639,114.96 = 259,156.42/x
  3. Step 3: Cross multiply
    463,107.28x = 639,114.96 × 259,156.42
  4. Step 4: Simplify right side
    463,107.28x = 165,630,745,002.04
  5. Step 5: Solve for x
    x = 165,630,745,002.04/463,107.28
  6. Step 6: Final answer
    x = 357,650.92

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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.