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Finding the Fourth Proportional to 322,724.96, 484,076.28 and 123,038

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Solution

The fourth proportional to 322,724.96, 484,076.28 and 123,038 is: 184,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,724.96 : 484,076.28 = 123,038 : x
  2. Step 2: Convert to fraction form
    322,724.96/484,076.28 = 123,038/x
  3. Step 3: Cross multiply
    322,724.96x = 484,076.28 × 123,038
  4. Step 4: Simplify right side
    322,724.96x = 59,559,777,338.64
  5. Step 5: Solve for x
    x = 59,559,777,338.64/322,724.96
  6. Step 6: Final answer
    x = 184,552.75

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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.