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Finding the Fourth Proportional to 405,902.60, 608,892.30 and 110,414.60

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Solution

The fourth proportional to 405,902.60, 608,892.30 and 110,414.60 is: 165,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,902.60 : 608,892.30 = 110,414.60 : x
  2. Step 2: Convert to fraction form
    405,902.60/608,892.30 = 110,414.60/x
  3. Step 3: Cross multiply
    405,902.60x = 608,892.30 × 110,414.60
  4. Step 4: Simplify right side
    405,902.60x = 67,230,599,747.58
  5. Step 5: Solve for x
    x = 67,230,599,747.58/405,902.60
  6. Step 6: Final answer
    x = 165,632.35

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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.