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Finding the Fourth Proportional to 361,012.14, 498,200.67 and 199,869.84

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Solution

The fourth proportional to 361,012.14, 498,200.67 and 199,869.84 is: 275,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,012.14 : 498,200.67 = 199,869.84 : x
  2. Step 2: Convert to fraction form
    361,012.14/498,200.67 = 199,869.84/x
  3. Step 3: Cross multiply
    361,012.14x = 498,200.67 × 199,869.84
  4. Step 4: Simplify right side
    361,012.14x = 99,575,288,200.79
  5. Step 5: Solve for x
    x = 99,575,288,200.79/361,012.14
  6. Step 6: Final answer
    x = 275,822.55

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1.5x scale

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.