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Finding the Fourth Proportional to 274,974.80, 413,076.60 and 192,030.80

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Solution

The fourth proportional to 274,974.80, 413,076.60 and 192,030.80 is: 288,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,974.80 : 413,076.60 = 192,030.80 : x
  2. Step 2: Convert to fraction form
    274,974.80/413,076.60 = 192,030.80/x
  3. Step 3: Cross multiply
    274,974.80x = 413,076.60 × 192,030.80
  4. Step 4: Simplify right side
    274,974.80x = 79,323,429,959.28
  5. Step 5: Solve for x
    x = 79,323,429,959.28/274,974.80
  6. Step 6: Final answer
    x = 288,475.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.