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Finding the Fourth Proportional to 541,410.30, 747,137.14 and 299,687.67

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Solution

The fourth proportional to 541,410.30, 747,137.14 and 299,687.67 is: 413,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,410.30 : 747,137.14 = 299,687.67 : x
  2. Step 2: Convert to fraction form
    541,410.30/747,137.14 = 299,687.67/x
  3. Step 3: Cross multiply
    541,410.30x = 747,137.14 × 299,687.67
  4. Step 4: Simplify right side
    541,410.30x = 223,907,788,657.06
  5. Step 5: Solve for x
    x = 223,907,788,657.06/541,410.30
  6. Step 6: Final answer
    x = 413,563.96

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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.