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Finding the Fourth Proportional to 409,424.48, 565,006.92 and 237,375.80

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Solution

The fourth proportional to 409,424.48, 565,006.92 and 237,375.80 is: 327,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,424.48 : 565,006.92 = 237,375.80 : x
  2. Step 2: Convert to fraction form
    409,424.48/565,006.92 = 237,375.80/x
  3. Step 3: Cross multiply
    409,424.48x = 565,006.92 × 237,375.80
  4. Step 4: Simplify right side
    409,424.48x = 134,118,969,640.54
  5. Step 5: Solve for x
    x = 134,118,969,640.54/409,424.48
  6. Step 6: Final answer
    x = 327,579.26

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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.