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Finding the Fourth Proportional to 541,122.64, 746,731.20 and 299,405.68

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Solution

The fourth proportional to 541,122.64, 746,731.20 and 299,405.68 is: 413,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,122.64 : 746,731.20 = 299,405.68 : x
  2. Step 2: Convert to fraction form
    541,122.64/746,731.20 = 299,405.68/x
  3. Step 3: Cross multiply
    541,122.64x = 746,731.20 × 299,405.68
  4. Step 4: Simplify right side
    541,122.64x = 223,575,562,713.22
  5. Step 5: Solve for x
    x = 223,575,562,713.22/541,122.64
  6. Step 6: Final answer
    x = 413,169.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.