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Finding the Fourth Proportional to 309,258.13, 426,776.28 and 188,399.38

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Solution

The fourth proportional to 309,258.13, 426,776.28 and 188,399.38 is: 259,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,258.13 : 426,776.28 = 188,399.38 : x
  2. Step 2: Convert to fraction form
    309,258.13/426,776.28 = 188,399.38/x
  3. Step 3: Cross multiply
    309,258.13x = 426,776.28 × 188,399.38
  4. Step 4: Simplify right side
    309,258.13x = 80,404,383,474.83
  5. Step 5: Solve for x
    x = 80,404,383,474.83/309,258.13
  6. Step 6: Final answer
    x = 259,991.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.