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Finding the Fourth Proportional to 374,560.50, 516,893.49 and 204,794.63

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Solution

The fourth proportional to 374,560.50, 516,893.49 and 204,794.63 is: 282,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,560.50 : 516,893.49 = 204,794.63 : x
  2. Step 2: Convert to fraction form
    374,560.50/516,893.49 = 204,794.63/x
  3. Step 3: Cross multiply
    374,560.50x = 516,893.49 × 204,794.63
  4. Step 4: Simplify right side
    374,560.50x = 105,857,008,961.48
  5. Step 5: Solve for x
    x = 105,857,008,961.48/374,560.50
  6. Step 6: Final answer
    x = 282,616.58

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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.