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Finding the Fourth Proportional to 540,679.35, 746,107.41 and 298,947.42

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Solution

The fourth proportional to 540,679.35, 746,107.41 and 298,947.42 is: 412,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,679.35 : 746,107.41 = 298,947.42 : x
  2. Step 2: Convert to fraction form
    540,679.35/746,107.41 = 298,947.42/x
  3. Step 3: Cross multiply
    540,679.35x = 746,107.41 × 298,947.42
  4. Step 4: Simplify right side
    540,679.35x = 223,046,885,262.38
  5. Step 5: Solve for x
    x = 223,046,885,262.38/540,679.35
  6. Step 6: Final answer
    x = 412,530.80

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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.