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Finding the Fourth Proportional to 304,062.34, 419,617.86 and 201,911.66

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Solution

The fourth proportional to 304,062.34, 419,617.86 and 201,911.66 is: 278,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,062.34 : 419,617.86 = 201,911.66 : x
  2. Step 2: Convert to fraction form
    304,062.34/419,617.86 = 201,911.66/x
  3. Step 3: Cross multiply
    304,062.34x = 419,617.86 × 201,911.66
  4. Step 4: Simplify right side
    304,062.34x = 84,725,738,678.25
  5. Step 5: Solve for x
    x = 84,725,738,678.25/304,062.34
  6. Step 6: Final answer
    x = 278,645.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.