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Finding the Fourth Proportional to 585,825.29, 878,729.73 and 230,842.38

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Solution

The fourth proportional to 585,825.29, 878,729.73 and 230,842.38 is: 346,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,825.29 : 878,729.73 = 230,842.38 : x
  2. Step 2: Convert to fraction form
    585,825.29/878,729.73 = 230,842.38/x
  3. Step 3: Cross multiply
    585,825.29x = 878,729.73 × 230,842.38
  4. Step 4: Simplify right side
    585,825.29x = 202,848,062,249.96
  5. Step 5: Solve for x
    x = 202,848,062,249.96/585,825.29
  6. Step 6: Final answer
    x = 346,260.34

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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.