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Finding the Fourth Proportional to 516,888.14, 713,251.04 and 287,408.41

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Solution

The fourth proportional to 516,888.14, 713,251.04 and 287,408.41 is: 396,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,888.14 : 713,251.04 = 287,408.41 : x
  2. Step 2: Convert to fraction form
    516,888.14/713,251.04 = 287,408.41/x
  3. Step 3: Cross multiply
    516,888.14x = 713,251.04 × 287,408.41
  4. Step 4: Simplify right side
    516,888.14x = 204,994,347,337.25
  5. Step 5: Solve for x
    x = 204,994,347,337.25/516,888.14
  6. Step 6: Final answer
    x = 396,593.25

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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.