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Finding the Fourth Proportional to 309,390.74, 464,086.46 and 84,753.10

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Solution

The fourth proportional to 309,390.74, 464,086.46 and 84,753.10 is: 127,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,390.74 : 464,086.46 = 84,753.10 : x
  2. Step 2: Convert to fraction form
    309,390.74/464,086.46 = 84,753.10/x
  3. Step 3: Cross multiply
    309,390.74x = 464,086.46 × 84,753.10
  4. Step 4: Simplify right side
    309,390.74x = 39,332,766,153.03
  5. Step 5: Solve for x
    x = 39,332,766,153.03/309,390.74
  6. Step 6: Final answer
    x = 127,129.75

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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.