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Finding the Fourth Proportional to 393,458.06, 590,219.62 and 165,819.54

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Solution

The fourth proportional to 393,458.06, 590,219.62 and 165,819.54 is: 248,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,458.06 : 590,219.62 = 165,819.54 : x
  2. Step 2: Convert to fraction form
    393,458.06/590,219.62 = 165,819.54/x
  3. Step 3: Cross multiply
    393,458.06x = 590,219.62 × 165,819.54
  4. Step 4: Simplify right side
    393,458.06x = 97,869,945,887.37
  5. Step 5: Solve for x
    x = 97,869,945,887.37/393,458.06
  6. Step 6: Final answer
    x = 248,743.02

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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.