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Finding the Fourth Proportional to 378,392.40, 522,243.72 and 227,572.56

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Solution

The fourth proportional to 378,392.40, 522,243.72 and 227,572.56 is: 314,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,392.40 : 522,243.72 = 227,572.56 : x
  2. Step 2: Convert to fraction form
    378,392.40/522,243.72 = 227,572.56/x
  3. Step 3: Cross multiply
    378,392.40x = 522,243.72 × 227,572.56
  4. Step 4: Simplify right side
    378,392.40x = 118,848,340,304.32
  5. Step 5: Solve for x
    x = 118,848,340,304.32/378,392.40
  6. Step 6: Final answer
    x = 314,087.55

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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.