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Finding the Fourth Proportional to 374,855.85, 517,313.99 and 205,089.97

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Solution

The fourth proportional to 374,855.85, 517,313.99 and 205,089.97 is: 283,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,855.85 : 517,313.99 = 205,089.97 : x
  2. Step 2: Convert to fraction form
    374,855.85/517,313.99 = 205,089.97/x
  3. Step 3: Cross multiply
    374,855.85x = 517,313.99 × 205,089.97
  4. Step 4: Simplify right side
    374,855.85x = 106,095,910,689.68
  5. Step 5: Solve for x
    x = 106,095,910,689.68/374,855.85
  6. Step 6: Final answer
    x = 283,031.23

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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.