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Finding the Fourth Proportional to 469,282.88, 703,983.24 and 229,404.54

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Solution

The fourth proportional to 469,282.88, 703,983.24 and 229,404.54 is: 344,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,282.88 : 703,983.24 = 229,404.54 : x
  2. Step 2: Convert to fraction form
    469,282.88/703,983.24 = 229,404.54/x
  3. Step 3: Cross multiply
    469,282.88x = 703,983.24 × 229,404.54
  4. Step 4: Simplify right side
    469,282.88x = 161,496,951,339.91
  5. Step 5: Solve for x
    x = 161,496,951,339.91/469,282.88
  6. Step 6: Final answer
    x = 344,135.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.