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Finding the Fourth Proportional to 364,661, 503,249.46 and 205,685

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Solution

The fourth proportional to 364,661, 503,249.46 and 205,685 is: 283,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,661 : 503,249.46 = 205,685 : x
  2. Step 2: Convert to fraction form
    364,661/503,249.46 = 205,685/x
  3. Step 3: Cross multiply
    364,661x = 503,249.46 × 205,685
  4. Step 4: Simplify right side
    364,661x = 103,510,865,180.10
  5. Step 5: Solve for x
    x = 103,510,865,180.10/364,661
  6. Step 6: Final answer
    x = 283,855.05

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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.