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Finding the Fourth Proportional to 442,175.16, 610,201.74 and 240,971

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Solution

The fourth proportional to 442,175.16, 610,201.74 and 240,971 is: 332,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,175.16 : 610,201.74 = 240,971 : x
  2. Step 2: Convert to fraction form
    442,175.16/610,201.74 = 240,971/x
  3. Step 3: Cross multiply
    442,175.16x = 610,201.74 × 240,971
  4. Step 4: Simplify right side
    442,175.16x = 147,040,923,489.54
  5. Step 5: Solve for x
    x = 147,040,923,489.54/442,175.16
  6. Step 6: Final answer
    x = 332,539.99

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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.