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Finding the Fourth Proportional to 364,700.42, 548,012.79 and 196,345.22

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Solution

The fourth proportional to 364,700.42, 548,012.79 and 196,345.22 is: 295,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,700.42 : 548,012.79 = 196,345.22 : x
  2. Step 2: Convert to fraction form
    364,700.42/548,012.79 = 196,345.22/x
  3. Step 3: Cross multiply
    364,700.42x = 548,012.79 × 196,345.22
  4. Step 4: Simplify right side
    364,700.42x = 107,599,691,815.36
  5. Step 5: Solve for x
    x = 107,599,691,815.36/364,700.42
  6. Step 6: Final answer
    x = 295,035.83

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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.