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Finding the Fourth Proportional to 309,305.70, 463,844.73 and 106,850.28

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Solution

The fourth proportional to 309,305.70, 463,844.73 and 106,850.28 is: 160,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,305.70 : 463,844.73 = 106,850.28 : x
  2. Step 2: Convert to fraction form
    309,305.70/463,844.73 = 106,850.28/x
  3. Step 3: Cross multiply
    309,305.70x = 463,844.73 × 106,850.28
  4. Step 4: Simplify right side
    309,305.70x = 49,561,939,277.02
  5. Step 5: Solve for x
    x = 49,561,939,277.02/309,305.70
  6. Step 6: Final answer
    x = 160,236.10

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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.