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Finding the Fourth Proportional to 516,536.52, 712,838.74 and 287,098.44

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Solution

The fourth proportional to 516,536.52, 712,838.74 and 287,098.44 is: 396,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,536.52 : 712,838.74 = 287,098.44 : x
  2. Step 2: Convert to fraction form
    516,536.52/712,838.74 = 287,098.44/x
  3. Step 3: Cross multiply
    516,536.52x = 712,838.74 × 287,098.44
  4. Step 4: Simplify right side
    516,536.52x = 204,654,890,225.57
  5. Step 5: Solve for x
    x = 204,654,890,225.57/516,536.52
  6. Step 6: Final answer
    x = 396,206.04

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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.