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Finding the Fourth Proportional to 361,022.76, 498,205.44 and 199,874.34

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Solution

The fourth proportional to 361,022.76, 498,205.44 and 199,874.34 is: 275,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,022.76 : 498,205.44 = 199,874.34 : x
  2. Step 2: Convert to fraction form
    361,022.76/498,205.44 = 199,874.34/x
  3. Step 3: Cross multiply
    361,022.76x = 498,205.44 × 199,874.34
  4. Step 4: Simplify right side
    361,022.76x = 99,578,483,504.41
  5. Step 5: Solve for x
    x = 99,578,483,504.41/361,022.76
  6. Step 6: Final answer
    x = 275,823.28

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Half scale
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Double scale
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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.