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Finding the Fourth Proportional to 322,364.84, 444,837.38 and 186,407.60

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Solution

The fourth proportional to 322,364.84, 444,837.38 and 186,407.60 is: 257,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,364.84 : 444,837.38 = 186,407.60 : x
  2. Step 2: Convert to fraction form
    322,364.84/444,837.38 = 186,407.60/x
  3. Step 3: Cross multiply
    322,364.84x = 444,837.38 × 186,407.60
  4. Step 4: Simplify right side
    322,364.84x = 82,921,068,396.09
  5. Step 5: Solve for x
    x = 82,921,068,396.09/322,364.84
  6. Step 6: Final answer
    x = 257,227.40

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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.