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Finding the Fourth Proportional to 441,684.80, 662,632.92 and 142,193.37

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Solution

The fourth proportional to 441,684.80, 662,632.92 and 142,193.37 is: 213,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,684.80 : 662,632.92 = 142,193.37 : x
  2. Step 2: Convert to fraction form
    441,684.80/662,632.92 = 142,193.37/x
  3. Step 3: Cross multiply
    441,684.80x = 662,632.92 × 142,193.37
  4. Step 4: Simplify right side
    441,684.80x = 94,222,010,452.61
  5. Step 5: Solve for x
    x = 94,222,010,452.61/441,684.80
  6. Step 6: Final answer
    x = 213,324.10

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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.