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Finding the Fourth Proportional to 516,986.38, 712,959.87 and 335,504.26

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Solution

The fourth proportional to 516,986.38, 712,959.87 and 335,504.26 is: 462,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,986.38 : 712,959.87 = 335,504.26 : x
  2. Step 2: Convert to fraction form
    516,986.38/712,959.87 = 335,504.26/x
  3. Step 3: Cross multiply
    516,986.38x = 712,959.87 × 335,504.26
  4. Step 4: Simplify right side
    516,986.38x = 239,201,073,594.05
  5. Step 5: Solve for x
    x = 239,201,073,594.05/516,986.38
  6. Step 6: Final answer
    x = 462,683.51

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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.