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Finding the Fourth Proportional to 541,154.56, 746,794.16 and 299,447.32

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Solution

The fourth proportional to 541,154.56, 746,794.16 and 299,447.32 is: 413,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,154.56 : 746,794.16 = 299,447.32 : x
  2. Step 2: Convert to fraction form
    541,154.56/746,794.16 = 299,447.32/x
  3. Step 3: Cross multiply
    541,154.56x = 746,794.16 × 299,447.32
  4. Step 4: Simplify right side
    541,154.56x = 223,625,509,803.65
  5. Step 5: Solve for x
    x = 223,625,509,803.65/541,154.56
  6. Step 6: Final answer
    x = 413,237.78

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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.