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Finding the Fourth Proportional to 294,323.50, 441,489.48 and 83,961.46

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Solution

The fourth proportional to 294,323.50, 441,489.48 and 83,961.46 is: 125,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,323.50 : 441,489.48 = 83,961.46 : x
  2. Step 2: Convert to fraction form
    294,323.50/441,489.48 = 83,961.46/x
  3. Step 3: Cross multiply
    294,323.50x = 441,489.48 × 83,961.46
  4. Step 4: Simplify right side
    294,323.50x = 37,068,101,315.44
  5. Step 5: Solve for x
    x = 37,068,101,315.44/294,323.50
  6. Step 6: Final answer
    x = 125,943.40

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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.