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Finding the Fourth Proportional to 361,301.30, 541,433.55 and 265,786.10

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Solution

The fourth proportional to 361,301.30, 541,433.55 and 265,786.10 is: 398,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,301.30 : 541,433.55 = 265,786.10 : x
  2. Step 2: Convert to fraction form
    361,301.30/541,433.55 = 265,786.10/x
  3. Step 3: Cross multiply
    361,301.30x = 541,433.55 × 265,786.10
  4. Step 4: Simplify right side
    361,301.30x = 143,905,511,663.66
  5. Step 5: Solve for x
    x = 143,905,511,663.66/361,301.30
  6. Step 6: Final answer
    x = 398,297.80

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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.