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Finding the Fourth Proportional to 541,337.98, 747,037.35 and 299,615.41

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Solution

The fourth proportional to 541,337.98, 747,037.35 and 299,615.41 is: 413,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,337.98 : 747,037.35 = 299,615.41 : x
  2. Step 2: Convert to fraction form
    541,337.98/747,037.35 = 299,615.41/x
  3. Step 3: Cross multiply
    541,337.98x = 747,037.35 × 299,615.41
  4. Step 4: Simplify right side
    541,337.98x = 223,823,901,905.56
  5. Step 5: Solve for x
    x = 223,823,901,905.56/541,337.98
  6. Step 6: Final answer
    x = 413,464.25

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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.