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Finding the Fourth Proportional to 357,332.64, 493,120.01 and 196,198.12

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Solution

The fourth proportional to 357,332.64, 493,120.01 and 196,198.12 is: 270,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,332.64 : 493,120.01 = 196,198.12 : x
  2. Step 2: Convert to fraction form
    357,332.64/493,120.01 = 196,198.12/x
  3. Step 3: Cross multiply
    357,332.64x = 493,120.01 × 196,198.12
  4. Step 4: Simplify right side
    357,332.64x = 96,749,218,899.66
  5. Step 5: Solve for x
    x = 96,749,218,899.66/357,332.64
  6. Step 6: Final answer
    x = 270,753.94

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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.