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Finding the Fourth Proportional to 361,297.40, 498,621.03 and 200,202.98

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Solution

The fourth proportional to 361,297.40, 498,621.03 and 200,202.98 is: 276,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,297.40 : 498,621.03 = 200,202.98 : x
  2. Step 2: Convert to fraction form
    361,297.40/498,621.03 = 200,202.98/x
  3. Step 3: Cross multiply
    361,297.40x = 498,621.03 × 200,202.98
  4. Step 4: Simplify right side
    361,297.40x = 99,825,416,096.67
  5. Step 5: Solve for x
    x = 99,825,416,096.67/361,297.40
  6. Step 6: Final answer
    x = 276,297.08

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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.