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Finding the Fourth Proportional to 516,338.25, 712,613.61 and 289,983.75

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Solution

The fourth proportional to 516,338.25, 712,613.61 and 289,983.75 is: 400,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,338.25 : 712,613.61 = 289,983.75 : x
  2. Step 2: Convert to fraction form
    516,338.25/712,613.61 = 289,983.75/x
  3. Step 3: Cross multiply
    516,338.25x = 712,613.61 × 289,983.75
  4. Step 4: Simplify right side
    516,338.25x = 206,646,366,928.84
  5. Step 5: Solve for x
    x = 206,646,366,928.84/516,338.25
  6. Step 6: Final answer
    x = 400,215.10

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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.