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Finding the Fourth Proportional to 541,333.98, 747,031.84 and 299,611.40

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Solution

The fourth proportional to 541,333.98, 747,031.84 and 299,611.40 is: 413,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,333.98 : 747,031.84 = 299,611.40 : x
  2. Step 2: Convert to fraction form
    541,333.98/747,031.84 = 299,611.40/x
  3. Step 3: Cross multiply
    541,333.98x = 747,031.84 × 299,611.40
  4. Step 4: Simplify right side
    541,333.98x = 223,819,250,942.79
  5. Step 5: Solve for x
    x = 223,819,250,942.79/541,333.98
  6. Step 6: Final answer
    x = 413,458.71

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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.