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Finding the Fourth Proportional to 356,095.11, 491,411.37 and 194,960.37

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Solution

The fourth proportional to 356,095.11, 491,411.37 and 194,960.37 is: 269,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,095.11 : 491,411.37 = 194,960.37 : x
  2. Step 2: Convert to fraction form
    356,095.11/491,411.37 = 194,960.37/x
  3. Step 3: Cross multiply
    356,095.11x = 491,411.37 × 194,960.37
  4. Step 4: Simplify right side
    356,095.11x = 95,805,742,517.41
  5. Step 5: Solve for x
    x = 95,805,742,517.41/356,095.11
  6. Step 6: Final answer
    x = 269,045.38

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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.