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Finding the Fourth Proportional to 361,445.45, 498,797.61 and 200,303.17

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Solution

The fourth proportional to 361,445.45, 498,797.61 and 200,303.17 is: 276,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,445.45 : 498,797.61 = 200,303.17 : x
  2. Step 2: Convert to fraction form
    361,445.45/498,797.61 = 200,303.17/x
  3. Step 3: Cross multiply
    361,445.45x = 498,797.61 × 200,303.17
  4. Step 4: Simplify right side
    361,445.45x = 99,910,743,718.42
  5. Step 5: Solve for x
    x = 99,910,743,718.42/361,445.45
  6. Step 6: Final answer
    x = 276,419.98

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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.