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Finding the Fourth Proportional to 293,654.58, 440,481.63 and 83,294.34

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Solution

The fourth proportional to 293,654.58, 440,481.63 and 83,294.34 is: 124,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,654.58 : 440,481.63 = 83,294.34 : x
  2. Step 2: Convert to fraction form
    293,654.58/440,481.63 = 83,294.34/x
  3. Step 3: Cross multiply
    293,654.58x = 440,481.63 × 83,294.34
  4. Step 4: Simplify right side
    293,654.58x = 36,689,626,652.97
  5. Step 5: Solve for x
    x = 36,689,626,652.97/293,654.58
  6. Step 6: Final answer
    x = 124,941.44

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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.