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Finding the Fourth Proportional to 347,419.26, 479,398.23 and 194,465.97

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Solution

The fourth proportional to 347,419.26, 479,398.23 and 194,465.97 is: 268,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,419.26 : 479,398.23 = 194,465.97 : x
  2. Step 2: Convert to fraction form
    347,419.26/479,398.23 = 194,465.97/x
  3. Step 3: Cross multiply
    347,419.26x = 479,398.23 × 194,465.97
  4. Step 4: Simplify right side
    347,419.26x = 93,226,641,813.23
  5. Step 5: Solve for x
    x = 93,226,641,813.23/347,419.26
  6. Step 6: Final answer
    x = 268,340.45

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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.