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Finding the Fourth Proportional to 516,523.56, 712,820.76 and 287,085.40

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Solution

The fourth proportional to 516,523.56, 712,820.76 and 287,085.40 is: 396,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,523.56 : 712,820.76 = 287,085.40 : x
  2. Step 2: Convert to fraction form
    516,523.56/712,820.76 = 287,085.40/x
  3. Step 3: Cross multiply
    516,523.56x = 712,820.76 × 287,085.40
  4. Step 4: Simplify right side
    516,523.56x = 204,640,433,012.90
  5. Step 5: Solve for x
    x = 204,640,433,012.90/516,523.56
  6. Step 6: Final answer
    x = 396,187.99

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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.