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Finding the Fourth Proportional to 341,198.88, 470,356.02 and 238,902

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Solution

The fourth proportional to 341,198.88, 470,356.02 and 238,902 is: 329,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,198.88 : 470,356.02 = 238,902 : x
  2. Step 2: Convert to fraction form
    341,198.88/470,356.02 = 238,902/x
  3. Step 3: Cross multiply
    341,198.88x = 470,356.02 × 238,902
  4. Step 4: Simplify right side
    341,198.88x = 112,368,993,890.04
  5. Step 5: Solve for x
    x = 112,368,993,890.04/341,198.88
  6. Step 6: Final answer
    x = 329,335.76

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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.