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Finding the Fourth Proportional to 363,422.50, 501,527.80 and 200,098.00

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Solution

The fourth proportional to 363,422.50, 501,527.80 and 200,098.00 is: 276,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,422.50 : 501,527.80 = 200,098.00 : x
  2. Step 2: Convert to fraction form
    363,422.50/501,527.80 = 200,098.00/x
  3. Step 3: Cross multiply
    363,422.50x = 501,527.80 × 200,098.00
  4. Step 4: Simplify right side
    363,422.50x = 100,354,707,970.34
  5. Step 5: Solve for x
    x = 100,354,707,970.34/363,422.50
  6. Step 6: Final answer
    x = 276,137.85

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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.