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Finding the Fourth Proportional to 516,774.06, 713,134.92 and 287,319.49

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Solution

The fourth proportional to 516,774.06, 713,134.92 and 287,319.49 is: 396,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,774.06 : 713,134.92 = 287,319.49 : x
  2. Step 2: Convert to fraction form
    516,774.06/713,134.92 = 287,319.49/x
  3. Step 3: Cross multiply
    516,774.06x = 713,134.92 × 287,319.49
  4. Step 4: Simplify right side
    516,774.06x = 204,897,561,515.59
  5. Step 5: Solve for x
    x = 204,897,561,515.59/516,774.06
  6. Step 6: Final answer
    x = 396,493.51

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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.