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Finding the Fourth Proportional to 340,600.74, 470,029.14 and 197,443.91

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Solution

The fourth proportional to 340,600.74, 470,029.14 and 197,443.91 is: 272,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,600.74 : 470,029.14 = 197,443.91 : x
  2. Step 2: Convert to fraction form
    340,600.74/470,029.14 = 197,443.91/x
  3. Step 3: Cross multiply
    340,600.74x = 470,029.14 × 197,443.91
  4. Step 4: Simplify right side
    340,600.74x = 92,804,388,865.39
  5. Step 5: Solve for x
    x = 92,804,388,865.39/340,600.74
  6. Step 6: Final answer
    x = 272,472.66

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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.