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Finding the Fourth Proportional to 295,837.60, 444,231.60 and 274,007.20

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Solution

The fourth proportional to 295,837.60, 444,231.60 and 274,007.20 is: 411,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,837.60 : 444,231.60 = 274,007.20 : x
  2. Step 2: Convert to fraction form
    295,837.60/444,231.60 = 274,007.20/x
  3. Step 3: Cross multiply
    295,837.60x = 444,231.60 × 274,007.20
  4. Step 4: Simplify right side
    295,837.60x = 121,722,656,867.52
  5. Step 5: Solve for x
    x = 121,722,656,867.52/295,837.60
  6. Step 6: Final answer
    x = 411,450.93

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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.