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Finding the Fourth Proportional to 294,354.30, 441,535.50 and 83,992.17

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Solution

The fourth proportional to 294,354.30, 441,535.50 and 83,992.17 is: 125,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,354.30 : 441,535.50 = 83,992.17 : x
  2. Step 2: Convert to fraction form
    294,354.30/441,535.50 = 83,992.17/x
  3. Step 3: Cross multiply
    294,354.30x = 441,535.50 × 83,992.17
  4. Step 4: Simplify right side
    294,354.30x = 37,085,524,777.04
  5. Step 5: Solve for x
    x = 37,085,524,777.04/294,354.30
  6. Step 6: Final answer
    x = 125,989.41

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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.