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Finding the Fourth Proportional to 361,295.40, 498,618.28 and 200,200.98

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Solution

The fourth proportional to 361,295.40, 498,618.28 and 200,200.98 is: 276,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,295.40 : 498,618.28 = 200,200.98 : x
  2. Step 2: Convert to fraction form
    361,295.40/498,618.28 = 200,200.98/x
  3. Step 3: Cross multiply
    361,295.40x = 498,618.28 × 200,200.98
  4. Step 4: Simplify right side
    361,295.40x = 99,823,868,301.91
  5. Step 5: Solve for x
    x = 99,823,868,301.91/361,295.40
  6. Step 6: Final answer
    x = 276,294.32

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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.