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Finding the Fourth Proportional to 378,370.81, 522,164.30 and 225,388.11

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Solution

The fourth proportional to 378,370.81, 522,164.30 and 225,388.11 is: 311,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,370.81 : 522,164.30 = 225,388.11 : x
  2. Step 2: Convert to fraction form
    378,370.81/522,164.30 = 225,388.11/x
  3. Step 3: Cross multiply
    378,370.81x = 522,164.30 × 225,388.11
  4. Step 4: Simplify right side
    378,370.81x = 117,689,623,559.53
  5. Step 5: Solve for x
    x = 117,689,623,559.53/378,370.81
  6. Step 6: Final answer
    x = 311,043.09

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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.