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Finding the Fourth Proportional to 516,959.56, 713,397.18 and 287,514.64

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Solution

The fourth proportional to 516,959.56, 713,397.18 and 287,514.64 is: 396,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,959.56 : 713,397.18 = 287,514.64 : x
  2. Step 2: Convert to fraction form
    516,959.56/713,397.18 = 287,514.64/x
  3. Step 3: Cross multiply
    516,959.56x = 713,397.18 × 287,514.64
  4. Step 4: Simplify right side
    516,959.56x = 205,112,133,384.72
  5. Step 5: Solve for x
    x = 205,112,133,384.72/516,959.56
  6. Step 6: Final answer
    x = 396,766.30

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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.