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Finding the Fourth Proportional to 322,097.84, 444,462.54 and 188,039.60

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Solution

The fourth proportional to 322,097.84, 444,462.54 and 188,039.60 is: 259,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,097.84 : 444,462.54 = 188,039.60 : x
  2. Step 2: Convert to fraction form
    322,097.84/444,462.54 = 188,039.60/x
  3. Step 3: Cross multiply
    322,097.84x = 444,462.54 × 188,039.60
  4. Step 4: Simplify right side
    322,097.84x = 83,576,558,642.59
  5. Step 5: Solve for x
    x = 83,576,558,642.59/322,097.84
  6. Step 6: Final answer
    x = 259,475.69

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Why These Related Problems?

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