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Finding the Fourth Proportional to 541,651.26, 747,478.27 and 299,933.82

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Solution

The fourth proportional to 541,651.26, 747,478.27 and 299,933.82 is: 413,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,651.26 : 747,478.27 = 299,933.82 : x
  2. Step 2: Convert to fraction form
    541,651.26/747,478.27 = 299,933.82/x
  3. Step 3: Cross multiply
    541,651.26x = 747,478.27 × 299,933.82
  4. Step 4: Simplify right side
    541,651.26x = 224,194,012,888.09
  5. Step 5: Solve for x
    x = 224,194,012,888.09/541,651.26
  6. Step 6: Final answer
    x = 413,908.41

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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.