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Finding the Fourth Proportional to 309,394.66, 464,092.38 and 84,757.06

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Solution

The fourth proportional to 309,394.66, 464,092.38 and 84,757.06 is: 127,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,394.66 : 464,092.38 = 84,757.06 : x
  2. Step 2: Convert to fraction form
    309,394.66/464,092.38 = 84,757.06/x
  3. Step 3: Cross multiply
    309,394.66x = 464,092.38 × 84,757.06
  4. Step 4: Simplify right side
    309,394.66x = 39,335,105,697.20
  5. Step 5: Solve for x
    x = 39,335,105,697.20/309,394.66
  6. Step 6: Final answer
    x = 127,135.70

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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.