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Finding the Fourth Proportional to 399,217.80, 598,826.70 and 257,500.20

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Solution

The fourth proportional to 399,217.80, 598,826.70 and 257,500.20 is: 386,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,217.80 : 598,826.70 = 257,500.20 : x
  2. Step 2: Convert to fraction form
    399,217.80/598,826.70 = 257,500.20/x
  3. Step 3: Cross multiply
    399,217.80x = 598,826.70 × 257,500.20
  4. Step 4: Simplify right side
    399,217.80x = 154,197,995,015.34
  5. Step 5: Solve for x
    x = 154,197,995,015.34/399,217.80
  6. Step 6: Final answer
    x = 386,250.30

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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.