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Finding the Fourth Proportional to 313,609.29, 469,251.39 and 187,318.24

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Solution

The fourth proportional to 313,609.29, 469,251.39 and 187,318.24 is: 280,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,609.29 : 469,251.39 = 187,318.24 : x
  2. Step 2: Convert to fraction form
    313,609.29/469,251.39 = 187,318.24/x
  3. Step 3: Cross multiply
    313,609.29x = 469,251.39 × 187,318.24
  4. Step 4: Simplify right side
    313,609.29x = 87,899,344,021.67
  5. Step 5: Solve for x
    x = 87,899,344,021.67/313,609.29
  6. Step 6: Final answer
    x = 280,282.98

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1.5x scale

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.