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Finding the Fourth Proportional to 399,240.80, 598,861.20 and 257,523.20

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Solution

The fourth proportional to 399,240.80, 598,861.20 and 257,523.20 is: 386,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,240.80 : 598,861.20 = 257,523.20 : x
  2. Step 2: Convert to fraction form
    399,240.80/598,861.20 = 257,523.20/x
  3. Step 3: Cross multiply
    399,240.80x = 598,861.20 × 257,523.20
  4. Step 4: Simplify right side
    399,240.80x = 154,220,652,579.84
  5. Step 5: Solve for x
    x = 154,220,652,579.84/399,240.80
  6. Step 6: Final answer
    x = 386,284.80

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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.