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Finding the Fourth Proportional to 516,785.13, 713,195.70 and 287,393.66

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Solution

The fourth proportional to 516,785.13, 713,195.70 and 287,393.66 is: 396,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,785.13 : 713,195.70 = 287,393.66 : x
  2. Step 2: Convert to fraction form
    516,785.13/713,195.70 = 287,393.66/x
  3. Step 3: Cross multiply
    516,785.13x = 713,195.70 × 287,393.66
  4. Step 4: Simplify right side
    516,785.13x = 204,967,920,550.04
  5. Step 5: Solve for x
    x = 204,967,920,550.04/516,785.13
  6. Step 6: Final answer
    x = 396,621.17

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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.