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Finding the Fourth Proportional to 405,835.20, 608,839.20 and 125,380.80

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Solution

The fourth proportional to 405,835.20, 608,839.20 and 125,380.80 is: 188,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,835.20 : 608,839.20 = 125,380.80 : x
  2. Step 2: Convert to fraction form
    405,835.20/608,839.20 = 125,380.80/x
  3. Step 3: Cross multiply
    405,835.20x = 608,839.20 × 125,380.80
  4. Step 4: Simplify right side
    405,835.20x = 76,336,745,967.36
  5. Step 5: Solve for x
    x = 76,336,745,967.36/405,835.20
  6. Step 6: Final answer
    x = 188,097.89

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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.