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Finding the Fourth Proportional to 230,919.30, 322,499.70 and 230,919.30

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Solution

The fourth proportional to 230,919.30, 322,499.70 and 230,919.30 is: 322,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,919.30 : 322,499.70 = 230,919.30 : x
  2. Step 2: Convert to fraction form
    230,919.30/322,499.70 = 230,919.30/x
  3. Step 3: Cross multiply
    230,919.30x = 322,499.70 × 230,919.30
  4. Step 4: Simplify right side
    230,919.30x = 74,471,404,974.21
  5. Step 5: Solve for x
    x = 74,471,404,974.21/230,919.30
  6. Step 6: Final answer
    x = 322,499.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.