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Finding the Fourth Proportional to 498,048.62, 687,305.66 and 271,692.50

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Solution

The fourth proportional to 498,048.62, 687,305.66 and 271,692.50 is: 374,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,048.62 : 687,305.66 = 271,692.50 : x
  2. Step 2: Convert to fraction form
    498,048.62/687,305.66 = 271,692.50/x
  3. Step 3: Cross multiply
    498,048.62x = 687,305.66 × 271,692.50
  4. Step 4: Simplify right side
    498,048.62x = 186,735,793,029.55
  5. Step 5: Solve for x
    x = 186,735,793,029.55/498,048.62
  6. Step 6: Final answer
    x = 374,934.87

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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.