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Finding the Fourth Proportional to 294,042.41, 441,010.87 and 77,902.60

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Solution

The fourth proportional to 294,042.41, 441,010.87 and 77,902.60 is: 116,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,042.41 : 441,010.87 = 77,902.60 : x
  2. Step 2: Convert to fraction form
    294,042.41/441,010.87 = 77,902.60/x
  3. Step 3: Cross multiply
    294,042.41x = 441,010.87 × 77,902.60
  4. Step 4: Simplify right side
    294,042.41x = 34,355,893,401.26
  5. Step 5: Solve for x
    x = 34,355,893,401.26/294,042.41
  6. Step 6: Final answer
    x = 116,839.93

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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.