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Finding the Fourth Proportional to 463,143.56, 639,149.54 and 259,192.85

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Solution

The fourth proportional to 463,143.56, 639,149.54 and 259,192.85 is: 357,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,143.56 : 639,149.54 = 259,192.85 : x
  2. Step 2: Convert to fraction form
    463,143.56/639,149.54 = 259,192.85/x
  3. Step 3: Cross multiply
    463,143.56x = 639,149.54 × 259,192.85
  4. Step 4: Simplify right side
    463,143.56x = 165,662,986,357.08
  5. Step 5: Solve for x
    x = 165,662,986,357.08/463,143.56
  6. Step 6: Final answer
    x = 357,692.52

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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.