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Finding the Fourth Proportional to 305,719.60, 458,190.60 and 272,282.80

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Solution

The fourth proportional to 305,719.60, 458,190.60 and 272,282.80 is: 408,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,719.60 : 458,190.60 = 272,282.80 : x
  2. Step 2: Convert to fraction form
    305,719.60/458,190.60 = 272,282.80/x
  3. Step 3: Cross multiply
    305,719.60x = 458,190.60 × 272,282.80
  4. Step 4: Simplify right side
    305,719.60x = 124,757,419,501.68
  5. Step 5: Solve for x
    x = 124,757,419,501.68/305,719.60
  6. Step 6: Final answer
    x = 408,077.92

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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.