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Finding the Fourth Proportional to 516,057.56, 712,161.08 and 286,614.80

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Solution

The fourth proportional to 516,057.56, 712,161.08 and 286,614.80 is: 395,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,057.56 : 712,161.08 = 286,614.80 : x
  2. Step 2: Convert to fraction form
    516,057.56/712,161.08 = 286,614.80/x
  3. Step 3: Cross multiply
    516,057.56x = 712,161.08 × 286,614.80
  4. Step 4: Simplify right side
    516,057.56x = 204,115,904,078.91
  5. Step 5: Solve for x
    x = 204,115,904,078.91/516,057.56
  6. Step 6: Final answer
    x = 395,529.34

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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.