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Finding the Fourth Proportional to 405,767.40, 609,023.10 and 206,226.60

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Solution

The fourth proportional to 405,767.40, 609,023.10 and 206,226.60 is: 309,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,767.40 : 609,023.10 = 206,226.60 : x
  2. Step 2: Convert to fraction form
    405,767.40/609,023.10 = 206,226.60/x
  3. Step 3: Cross multiply
    405,767.40x = 609,023.10 × 206,226.60
  4. Step 4: Simplify right side
    405,767.40x = 125,596,763,234.46
  5. Step 5: Solve for x
    x = 125,596,763,234.46/405,767.40
  6. Step 6: Final answer
    x = 309,528.96

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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.