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Finding the Fourth Proportional to 305,728.39, 458,093.19 and 185,822.02

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Solution

The fourth proportional to 305,728.39, 458,093.19 and 185,822.02 is: 278,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,728.39 : 458,093.19 = 185,822.02 : x
  2. Step 2: Convert to fraction form
    305,728.39/458,093.19 = 185,822.02/x
  3. Step 3: Cross multiply
    305,728.39x = 458,093.19 × 185,822.02
  4. Step 4: Simplify right side
    305,728.39x = 85,123,801,914.04
  5. Step 5: Solve for x
    x = 85,123,801,914.04/305,728.39
  6. Step 6: Final answer
    x = 278,429.50

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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.