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Finding the Fourth Proportional to 399,301.40, 598,952.10 and 162,813.80

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Solution

The fourth proportional to 399,301.40, 598,952.10 and 162,813.80 is: 244,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,301.40 : 598,952.10 = 162,813.80 : x
  2. Step 2: Convert to fraction form
    399,301.40/598,952.10 = 162,813.80/x
  3. Step 3: Cross multiply
    399,301.40x = 598,952.10 × 162,813.80
  4. Step 4: Simplify right side
    399,301.40x = 97,517,667,418.98
  5. Step 5: Solve for x
    x = 97,517,667,418.98/399,301.40
  6. Step 6: Final answer
    x = 244,220.70

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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.