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Finding the Fourth Proportional to 276,580.80, 414,579.60 and 157,996.80

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Solution

The fourth proportional to 276,580.80, 414,579.60 and 157,996.80 is: 236,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,580.80 : 414,579.60 = 157,996.80 : x
  2. Step 2: Convert to fraction form
    276,580.80/414,579.60 = 157,996.80/x
  3. Step 3: Cross multiply
    276,580.80x = 414,579.60 × 157,996.80
  4. Step 4: Simplify right side
    276,580.80x = 65,502,250,145.28
  5. Step 5: Solve for x
    x = 65,502,250,145.28/276,580.80
  6. Step 6: Final answer
    x = 236,828.62

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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.