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Finding the Fourth Proportional to 294,092.75, 441,139.13 and 72,476.75

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Solution

The fourth proportional to 294,092.75, 441,139.13 and 72,476.75 is: 108,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,092.75 : 441,139.13 = 72,476.75 : x
  2. Step 2: Convert to fraction form
    294,092.75/441,139.13 = 72,476.75/x
  3. Step 3: Cross multiply
    294,092.75x = 441,139.13 × 72,476.75
  4. Step 4: Simplify right side
    294,092.75x = 31,972,330,440.23
  5. Step 5: Solve for x
    x = 31,972,330,440.23/294,092.75
  6. Step 6: Final answer
    x = 108,715.13

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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.