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Finding the Fourth Proportional to 541,653.26, 747,481.03 and 299,935.82

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Solution

The fourth proportional to 541,653.26, 747,481.03 and 299,935.82 is: 413,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,653.26 : 747,481.03 = 299,935.82 : x
  2. Step 2: Convert to fraction form
    541,653.26/747,481.03 = 299,935.82/x
  3. Step 3: Cross multiply
    541,653.26x = 747,481.03 × 299,935.82
  4. Step 4: Simplify right side
    541,653.26x = 224,196,335,667.50
  5. Step 5: Solve for x
    x = 224,196,335,667.50/541,653.26
  6. Step 6: Final answer
    x = 413,911.17

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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.