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Finding the Fourth Proportional to 541,120.40, 746,768.16 and 299,399.04

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Solution

The fourth proportional to 541,120.40, 746,768.16 and 299,399.04 is: 413,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,120.40 : 746,768.16 = 299,399.04 : x
  2. Step 2: Convert to fraction form
    541,120.40/746,768.16 = 299,399.04/x
  3. Step 3: Cross multiply
    541,120.40x = 746,768.16 × 299,399.04
  4. Step 4: Simplify right side
    541,120.40x = 223,581,670,206.57
  5. Step 5: Solve for x
    x = 223,581,670,206.57/541,120.40
  6. Step 6: Final answer
    x = 413,182.85

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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.