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Finding the Fourth Proportional to 310,644.27, 465,671.07 and 198,008.28

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Solution

The fourth proportional to 310,644.27, 465,671.07 and 198,008.28 is: 296,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,644.27 : 465,671.07 = 198,008.28 : x
  2. Step 2: Convert to fraction form
    310,644.27/465,671.07 = 198,008.28/x
  3. Step 3: Cross multiply
    310,644.27x = 465,671.07 × 198,008.28
  4. Step 4: Simplify right side
    310,644.27x = 92,206,727,616.46
  5. Step 5: Solve for x
    x = 92,206,727,616.46/310,644.27
  6. Step 6: Final answer
    x = 296,824.17

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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.