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Finding the Fourth Proportional to 541,107.54, 746,729.28 and 299,400.30

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Solution

The fourth proportional to 541,107.54, 746,729.28 and 299,400.30 is: 413,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,107.54 : 746,729.28 = 299,400.30 : x
  2. Step 2: Convert to fraction form
    541,107.54/746,729.28 = 299,400.30/x
  3. Step 3: Cross multiply
    541,107.54x = 746,729.28 × 299,400.30
  4. Step 4: Simplify right side
    541,107.54x = 223,570,970,450.78
  5. Step 5: Solve for x
    x = 223,570,970,450.78/541,107.54
  6. Step 6: Final answer
    x = 413,172.90

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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.