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Finding the Fourth Proportional to 361,049.60, 498,264.02 and 199,904.64

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Solution

The fourth proportional to 361,049.60, 498,264.02 and 199,904.64 is: 275,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,049.60 : 498,264.02 = 199,904.64 : x
  2. Step 2: Convert to fraction form
    361,049.60/498,264.02 = 199,904.64/x
  3. Step 3: Cross multiply
    361,049.60x = 498,264.02 × 199,904.64
  4. Step 4: Simplify right side
    361,049.60x = 99,605,288,543.53
  5. Step 5: Solve for x
    x = 99,605,288,543.53/361,049.60
  6. Step 6: Final answer
    x = 275,877.03

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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.