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Finding the Fourth Proportional to 633,046.39, 949,720.64 and 206,583

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Solution

The fourth proportional to 633,046.39, 949,720.64 and 206,583 is: 309,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,046.39 : 949,720.64 = 206,583 : x
  2. Step 2: Convert to fraction form
    633,046.39/949,720.64 = 206,583/x
  3. Step 3: Cross multiply
    633,046.39x = 949,720.64 × 206,583
  4. Step 4: Simplify right side
    633,046.39x = 196,196,139,489.58
  5. Step 5: Solve for x
    x = 196,196,139,489.58/633,046.39
  6. Step 6: Final answer
    x = 309,923.80

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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.