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Finding the Fourth Proportional to 463,142.16, 639,170.58 and 259,213.56

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Solution

The fourth proportional to 463,142.16, 639,170.58 and 259,213.56 is: 357,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,142.16 : 639,170.58 = 259,213.56 : x
  2. Step 2: Convert to fraction form
    463,142.16/639,170.58 = 259,213.56/x
  3. Step 3: Cross multiply
    463,142.16x = 639,170.58 × 259,213.56
  4. Step 4: Simplify right side
    463,142.16x = 165,681,681,489.07
  5. Step 5: Solve for x
    x = 165,681,681,489.07/463,142.16
  6. Step 6: Final answer
    x = 357,733.97

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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.