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Finding the Fourth Proportional to 361,427.58, 498,773.02 and 200,285.32

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Solution

The fourth proportional to 361,427.58, 498,773.02 and 200,285.32 is: 276,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,427.58 : 498,773.02 = 200,285.32 : x
  2. Step 2: Convert to fraction form
    361,427.58/498,773.02 = 200,285.32/x
  3. Step 3: Cross multiply
    361,427.58x = 498,773.02 × 200,285.32
  4. Step 4: Simplify right side
    361,427.58x = 99,896,915,585.35
  5. Step 5: Solve for x
    x = 99,896,915,585.35/361,427.58
  6. Step 6: Final answer
    x = 276,395.38

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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.