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Finding the Fourth Proportional to 410,551.68, 566,529 and 229,249.44

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Solution

The fourth proportional to 410,551.68, 566,529 and 229,249.44 is: 316,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,551.68 : 566,529 = 229,249.44 : x
  2. Step 2: Convert to fraction form
    410,551.68/566,529 = 229,249.44/x
  3. Step 3: Cross multiply
    410,551.68x = 566,529 × 229,249.44
  4. Step 4: Simplify right side
    410,551.68x = 129,876,455,993.76
  5. Step 5: Solve for x
    x = 129,876,455,993.76/410,551.68
  6. Step 6: Final answer
    x = 316,346.18

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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.