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Finding the Fourth Proportional to 361,360.20, 498,656.25 and 200,205.64

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Solution

The fourth proportional to 361,360.20, 498,656.25 and 200,205.64 is: 276,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,360.20 : 498,656.25 = 200,205.64 : x
  2. Step 2: Convert to fraction form
    361,360.20/498,656.25 = 200,205.64/x
  3. Step 3: Cross multiply
    361,360.20x = 498,656.25 × 200,205.64
  4. Step 4: Simplify right side
    361,360.20x = 99,833,794,294.57
  5. Step 5: Solve for x
    x = 99,833,794,294.57/361,360.20
  6. Step 6: Final answer
    x = 276,272.24

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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.