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Finding the Fourth Proportional to 413,832.90, 620,421.30 and 226,844.40

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Solution

The fourth proportional to 413,832.90, 620,421.30 and 226,844.40 is: 340,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,832.90 : 620,421.30 = 226,844.40 : x
  2. Step 2: Convert to fraction form
    413,832.90/620,421.30 = 226,844.40/x
  3. Step 3: Cross multiply
    413,832.90x = 620,421.30 × 226,844.40
  4. Step 4: Simplify right side
    413,832.90x = 140,739,097,545.72
  5. Step 5: Solve for x
    x = 140,739,097,545.72/413,832.90
  6. Step 6: Final answer
    x = 340,086.78

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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.