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Finding the Fourth Proportional to 301,785.60, 451,900.80 and 222,470.40

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Solution

The fourth proportional to 301,785.60, 451,900.80 and 222,470.40 is: 333,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,785.60 : 451,900.80 = 222,470.40 : x
  2. Step 2: Convert to fraction form
    301,785.60/451,900.80 = 222,470.40/x
  3. Step 3: Cross multiply
    301,785.60x = 451,900.80 × 222,470.40
  4. Step 4: Simplify right side
    301,785.60x = 100,534,551,736.32
  5. Step 5: Solve for x
    x = 100,534,551,736.32/301,785.60
  6. Step 6: Final answer
    x = 333,132.37

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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.