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Finding the Fourth Proportional to 378,850.48, 522,881.38 and 225,898.52

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Solution

The fourth proportional to 378,850.48, 522,881.38 and 225,898.52 is: 311,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,850.48 : 522,881.38 = 225,898.52 : x
  2. Step 2: Convert to fraction form
    378,850.48/522,881.38 = 225,898.52/x
  3. Step 3: Cross multiply
    378,850.48x = 522,881.38 × 225,898.52
  4. Step 4: Simplify right side
    378,850.48x = 118,118,129,877.56
  5. Step 5: Solve for x
    x = 118,118,129,877.56/378,850.48
  6. Step 6: Final answer
    x = 311,780.34

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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.