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Finding the Fourth Proportional to 541,245.24, 746,899.90 and 299,538

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Solution

The fourth proportional to 541,245.24, 746,899.90 and 299,538 is: 413,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,245.24 : 746,899.90 = 299,538 : x
  2. Step 2: Convert to fraction form
    541,245.24/746,899.90 = 299,538/x
  3. Step 3: Cross multiply
    541,245.24x = 746,899.90 × 299,538
  4. Step 4: Simplify right side
    541,245.24x = 223,724,901,497.36
  5. Step 5: Solve for x
    x = 223,724,901,497.36/541,245.24
  6. Step 6: Final answer
    x = 413,352.18

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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.