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Finding the Fourth Proportional to 294,033.29, 440,997.21 and 77,893.45

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Solution

The fourth proportional to 294,033.29, 440,997.21 and 77,893.45 is: 116,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,033.29 : 440,997.21 = 77,893.45 : x
  2. Step 2: Convert to fraction form
    294,033.29/440,997.21 = 77,893.45/x
  3. Step 3: Cross multiply
    294,033.29x = 440,997.21 × 77,893.45
  4. Step 4: Simplify right side
    294,033.29x = 34,350,793,024.78
  5. Step 5: Solve for x
    x = 34,350,793,024.78/294,033.29
  6. Step 6: Final answer
    x = 116,826.21

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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.