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Finding the Fourth Proportional to 322,937.98, 484,092.74 and 154,414.60

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Solution

The fourth proportional to 322,937.98, 484,092.74 and 154,414.60 is: 231,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,937.98 : 484,092.74 = 154,414.60 : x
  2. Step 2: Convert to fraction form
    322,937.98/484,092.74 = 154,414.60/x
  3. Step 3: Cross multiply
    322,937.98x = 484,092.74 × 154,414.60
  4. Step 4: Simplify right side
    322,937.98x = 74,750,985,985.81
  5. Step 5: Solve for x
    x = 74,750,985,985.81/322,937.98
  6. Step 6: Final answer
    x = 231,471.65

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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.