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Finding the Fourth Proportional to 340,628.58, 470,067.57 and 197,471.61

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Solution

The fourth proportional to 340,628.58, 470,067.57 and 197,471.61 is: 272,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,628.58 : 470,067.57 = 197,471.61 : x
  2. Step 2: Convert to fraction form
    340,628.58/470,067.57 = 197,471.61/x
  3. Step 3: Cross multiply
    340,628.58x = 470,067.57 × 197,471.61
  4. Step 4: Simplify right side
    340,628.58x = 92,824,999,856.69
  5. Step 5: Solve for x
    x = 92,824,999,856.69/340,628.58
  6. Step 6: Final answer
    x = 272,510.90

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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.