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Finding the Fourth Proportional to 399,219.80, 598,829.70 and 257,502.20

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Solution

The fourth proportional to 399,219.80, 598,829.70 and 257,502.20 is: 386,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,219.80 : 598,829.70 = 257,502.20 : x
  2. Step 2: Convert to fraction form
    399,219.80/598,829.70 = 257,502.20/x
  3. Step 3: Cross multiply
    399,219.80x = 598,829.70 × 257,502.20
  4. Step 4: Simplify right side
    399,219.80x = 154,199,965,175.34
  5. Step 5: Solve for x
    x = 154,199,965,175.34/399,219.80
  6. Step 6: Final answer
    x = 386,253.30

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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.