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Finding the Fourth Proportional to 278,193.42, 417,373.29 and 197,296.29

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Solution

The fourth proportional to 278,193.42, 417,373.29 and 197,296.29 is: 296,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,193.42 : 417,373.29 = 197,296.29 : x
  2. Step 2: Convert to fraction form
    278,193.42/417,373.29 = 197,296.29/x
  3. Step 3: Cross multiply
    278,193.42x = 417,373.29 × 197,296.29
  4. Step 4: Simplify right side
    278,193.42x = 82,346,201,662.09
  5. Step 5: Solve for x
    x = 82,346,201,662.09/278,193.42
  6. Step 6: Final answer
    x = 296,003.41

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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.