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Finding the Fourth Proportional to 357,329.97, 493,093.26 and 196,184.11

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Solution

The fourth proportional to 357,329.97, 493,093.26 and 196,184.11 is: 270,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,329.97 : 493,093.26 = 196,184.11 : x
  2. Step 2: Convert to fraction form
    357,329.97/493,093.26 = 196,184.11/x
  3. Step 3: Cross multiply
    357,329.97x = 493,093.26 × 196,184.11
  4. Step 4: Simplify right side
    357,329.97x = 96,737,062,360.10
  5. Step 5: Solve for x
    x = 96,737,062,360.10/357,329.97
  6. Step 6: Final answer
    x = 270,721.94

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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.