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Finding the Fourth Proportional to 399,786.72, 599,846.22 and 175,031.40

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Solution

The fourth proportional to 399,786.72, 599,846.22 and 175,031.40 is: 262,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,786.72 : 599,846.22 = 175,031.40 : x
  2. Step 2: Convert to fraction form
    399,786.72/599,846.22 = 175,031.40/x
  3. Step 3: Cross multiply
    399,786.72x = 599,846.22 × 175,031.40
  4. Step 4: Simplify right side
    399,786.72x = 104,991,923,671.31
  5. Step 5: Solve for x
    x = 104,991,923,671.31/399,786.72
  6. Step 6: Final answer
    x = 262,619.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.