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Finding the Fourth Proportional to 310,819.68, 466,229.43 and 205,614.06

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Solution

The fourth proportional to 310,819.68, 466,229.43 and 205,614.06 is: 308,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,819.68 : 466,229.43 = 205,614.06 : x
  2. Step 2: Convert to fraction form
    310,819.68/466,229.43 = 205,614.06/x
  3. Step 3: Cross multiply
    310,819.68x = 466,229.43 × 205,614.06
  4. Step 4: Simplify right side
    310,819.68x = 95,863,325,993.79
  5. Step 5: Solve for x
    x = 95,863,325,993.79/310,819.68
  6. Step 6: Final answer
    x = 308,421.03

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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.