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Finding the Fourth Proportional to 309,298.44, 463,833.87 and 106,843.03

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Solution

The fourth proportional to 309,298.44, 463,833.87 and 106,843.03 is: 160,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,298.44 : 463,833.87 = 106,843.03 : x
  2. Step 2: Convert to fraction form
    309,298.44/463,833.87 = 106,843.03/x
  3. Step 3: Cross multiply
    309,298.44x = 463,833.87 × 106,843.03
  4. Step 4: Simplify right side
    309,298.44x = 49,557,416,087.43
  5. Step 5: Solve for x
    x = 49,557,416,087.43/309,298.44
  6. Step 6: Final answer
    x = 160,225.24

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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.