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Finding the Fourth Proportional to 541,706.44, 747,556.98 and 299,983.72

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Solution

The fourth proportional to 541,706.44, 747,556.98 and 299,983.72 is: 413,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,706.44 : 747,556.98 = 299,983.72 : x
  2. Step 2: Convert to fraction form
    541,706.44/747,556.98 = 299,983.72/x
  3. Step 3: Cross multiply
    541,706.44x = 747,556.98 × 299,983.72
  4. Step 4: Simplify right side
    541,706.44x = 224,254,923,772.37
  5. Step 5: Solve for x
    x = 224,254,923,772.37/541,706.44
  6. Step 6: Final answer
    x = 413,978.69

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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.