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Finding the Fourth Proportional to 361,298.94, 498,592.56 and 197,956.14

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Solution

The fourth proportional to 361,298.94, 498,592.56 and 197,956.14 is: 273,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,298.94 : 498,592.56 = 197,956.14 : x
  2. Step 2: Convert to fraction form
    361,298.94/498,592.56 = 197,956.14/x
  3. Step 3: Cross multiply
    361,298.94x = 498,592.56 × 197,956.14
  4. Step 4: Simplify right side
    361,298.94x = 98,699,458,610.32
  5. Step 5: Solve for x
    x = 98,699,458,610.32/361,298.94
  6. Step 6: Final answer
    x = 273,179.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.