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Finding the Fourth Proportional to 340,628.84, 470,067.94 and 197,471.86

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Solution

The fourth proportional to 340,628.84, 470,067.94 and 197,471.86 is: 272,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,628.84 : 470,067.94 = 197,471.86 : x
  2. Step 2: Convert to fraction form
    340,628.84/470,067.94 = 197,471.86/x
  3. Step 3: Cross multiply
    340,628.84x = 470,067.94 × 197,471.86
  4. Step 4: Simplify right side
    340,628.84x = 92,825,190,438.17
  5. Step 5: Solve for x
    x = 92,825,190,438.17/340,628.84
  6. Step 6: Final answer
    x = 272,511.25

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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.