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Finding the Fourth Proportional to 301,294.17, 451,943.91 and 76,654.80

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Solution

The fourth proportional to 301,294.17, 451,943.91 and 76,654.80 is: 114,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,294.17 : 451,943.91 = 76,654.80 : x
  2. Step 2: Convert to fraction form
    301,294.17/451,943.91 = 76,654.80/x
  3. Step 3: Cross multiply
    301,294.17x = 451,943.91 × 76,654.80
  4. Step 4: Simplify right side
    301,294.17x = 34,643,670,032.27
  5. Step 5: Solve for x
    x = 34,643,670,032.27/301,294.17
  6. Step 6: Final answer
    x = 114,982.88

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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.