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Finding the Fourth Proportional to 441,102.59, 661,658.34 and 174,865.31

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Solution

The fourth proportional to 441,102.59, 661,658.34 and 174,865.31 is: 262,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,102.59 : 661,658.34 = 174,865.31 : x
  2. Step 2: Convert to fraction form
    441,102.59/661,658.34 = 174,865.31/x
  3. Step 3: Cross multiply
    441,102.59x = 661,658.34 × 174,865.31
  4. Step 4: Simplify right side
    441,102.59x = 115,701,086,555.57
  5. Step 5: Solve for x
    x = 115,701,086,555.57/441,102.59
  6. Step 6: Final answer
    x = 262,299.72

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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.