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Finding the Fourth Proportional to 314,084.79, 433,448.42 and 179,974.71

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Solution

The fourth proportional to 314,084.79, 433,448.42 and 179,974.71 is: 248,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,084.79 : 433,448.42 = 179,974.71 : x
  2. Step 2: Convert to fraction form
    314,084.79/433,448.42 = 179,974.71/x
  3. Step 3: Cross multiply
    314,084.79x = 433,448.42 × 179,974.71
  4. Step 4: Simplify right side
    314,084.79x = 78,009,752,789.58
  5. Step 5: Solve for x
    x = 78,009,752,789.58/314,084.79
  6. Step 6: Final answer
    x = 248,371.63

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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.