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Finding the Fourth Proportional to 297,448.49, 410,326.81 and 189,905.46

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Solution

The fourth proportional to 297,448.49, 410,326.81 and 189,905.46 is: 261,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,448.49 : 410,326.81 = 189,905.46 : x
  2. Step 2: Convert to fraction form
    297,448.49/410,326.81 = 189,905.46/x
  3. Step 3: Cross multiply
    297,448.49x = 410,326.81 × 189,905.46
  4. Step 4: Simplify right side
    297,448.49x = 77,923,301,603.38
  5. Step 5: Solve for x
    x = 77,923,301,603.38/297,448.49
  6. Step 6: Final answer
    x = 261,972.42

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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.