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Finding the Fourth Proportional to 361,222.52, 498,481.56 and 197,877.78

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Solution

The fourth proportional to 361,222.52, 498,481.56 and 197,877.78 is: 273,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,222.52 : 498,481.56 = 197,877.78 : x
  2. Step 2: Convert to fraction form
    361,222.52/498,481.56 = 197,877.78/x
  3. Step 3: Cross multiply
    361,222.52x = 498,481.56 × 197,877.78
  4. Step 4: Simplify right side
    361,222.52x = 98,638,424,463.74
  5. Step 5: Solve for x
    x = 98,638,424,463.74/361,222.52
  6. Step 6: Final answer
    x = 273,068.32

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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.