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Finding the Fourth Proportional to 541,653.83, 747,481.82 and 299,936.40

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Solution

The fourth proportional to 541,653.83, 747,481.82 and 299,936.40 is: 413,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,653.83 : 747,481.82 = 299,936.40 : x
  2. Step 2: Convert to fraction form
    541,653.83/747,481.82 = 299,936.40/x
  3. Step 3: Cross multiply
    541,653.83x = 747,481.82 × 299,936.40
  4. Step 4: Simplify right side
    541,653.83x = 224,197,004,656.57
  5. Step 5: Solve for x
    x = 224,197,004,656.57/541,653.83
  6. Step 6: Final answer
    x = 413,911.98

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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.