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Finding the Fourth Proportional to 361,102.55, 498,321.21 and 199,957.60

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Solution

The fourth proportional to 361,102.55, 498,321.21 and 199,957.60 is: 275,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,102.55 : 498,321.21 = 199,957.60 : x
  2. Step 2: Convert to fraction form
    361,102.55/498,321.21 = 199,957.60/x
  3. Step 3: Cross multiply
    361,102.55x = 498,321.21 × 199,957.60
  4. Step 4: Simplify right side
    361,102.55x = 99,643,113,180.70
  5. Step 5: Solve for x
    x = 99,643,113,180.70/361,102.55
  6. Step 6: Final answer
    x = 275,941.32

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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.