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Finding the Fourth Proportional to 541,098.88, 746,738.46 and 299,377.54

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Solution

The fourth proportional to 541,098.88, 746,738.46 and 299,377.54 is: 413,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,098.88 : 746,738.46 = 299,377.54 : x
  2. Step 2: Convert to fraction form
    541,098.88/746,738.46 = 299,377.54/x
  3. Step 3: Cross multiply
    541,098.88x = 746,738.46 × 299,377.54
  4. Step 4: Simplify right side
    541,098.88x = 223,556,723,178.19
  5. Step 5: Solve for x
    x = 223,556,723,178.19/541,098.88
  6. Step 6: Final answer
    x = 413,153.18

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1.5x scale

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.