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Finding the Fourth Proportional to 514,212.75, 709,613.60 and 287,863.11

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Solution

The fourth proportional to 514,212.75, 709,613.60 and 287,863.11 is: 397,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,212.75 : 709,613.60 = 287,863.11 : x
  2. Step 2: Convert to fraction form
    514,212.75/709,613.60 = 287,863.11/x
  3. Step 3: Cross multiply
    514,212.75x = 709,613.60 × 287,863.11
  4. Step 4: Simplify right side
    514,212.75x = 204,271,576,354.98
  5. Step 5: Solve for x
    x = 204,271,576,354.98/514,212.75
  6. Step 6: Final answer
    x = 397,251.09

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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.