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Finding the Fourth Proportional to 409,911.90, 565,721.91 and 240,288.54

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Solution

The fourth proportional to 409,911.90, 565,721.91 and 240,288.54 is: 331,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,911.90 : 565,721.91 = 240,288.54 : x
  2. Step 2: Convert to fraction form
    409,911.90/565,721.91 = 240,288.54/x
  3. Step 3: Cross multiply
    409,911.90x = 565,721.91 × 240,288.54
  4. Step 4: Simplify right side
    409,911.90x = 135,936,491,799.91
  5. Step 5: Solve for x
    x = 135,936,491,799.91/409,911.90
  6. Step 6: Final answer
    x = 331,623.68

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