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Finding the Fourth Proportional to 322,365.26, 444,838.01 and 186,408

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Solution

The fourth proportional to 322,365.26, 444,838.01 and 186,408 is: 257,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,365.26 : 444,838.01 = 186,408 : x
  2. Step 2: Convert to fraction form
    322,365.26/444,838.01 = 186,408/x
  3. Step 3: Cross multiply
    322,365.26x = 444,838.01 × 186,408
  4. Step 4: Simplify right side
    322,365.26x = 82,921,362,836.04
  5. Step 5: Solve for x
    x = 82,921,362,836.04/322,365.26
  6. Step 6: Final answer
    x = 257,227.98

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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.