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Finding the Fourth Proportional to 294,454.88, 441,673.32 and 84,093.20

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Solution

The fourth proportional to 294,454.88, 441,673.32 and 84,093.20 is: 126,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,454.88 : 441,673.32 = 84,093.20 : x
  2. Step 2: Convert to fraction form
    294,454.88/441,673.32 = 84,093.20/x
  3. Step 3: Cross multiply
    294,454.88x = 441,673.32 × 84,093.20
  4. Step 4: Simplify right side
    294,454.88x = 37,141,722,833.42
  5. Step 5: Solve for x
    x = 37,141,722,833.42/294,454.88
  6. Step 6: Final answer
    x = 126,137.23

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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.