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Finding the Fourth Proportional to 516,213.60, 712,351.63 and 286,786.97

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Solution

The fourth proportional to 516,213.60, 712,351.63 and 286,786.97 is: 395,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,213.60 : 712,351.63 = 286,786.97 : x
  2. Step 2: Convert to fraction form
    516,213.60/712,351.63 = 286,786.97/x
  3. Step 3: Cross multiply
    516,213.60x = 712,351.63 × 286,786.97
  4. Step 4: Simplify right side
    516,213.60x = 204,293,165,542.26
  5. Step 5: Solve for x
    x = 204,293,165,542.26/516,213.60
  6. Step 6: Final answer
    x = 395,753.16

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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.