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Finding the Fourth Proportional to 361,570.55, 498,914.91 and 200,425.50

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Solution

The fourth proportional to 361,570.55, 498,914.91 and 200,425.50 is: 276,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,570.55 : 498,914.91 = 200,425.50 : x
  2. Step 2: Convert to fraction form
    361,570.55/498,914.91 = 200,425.50/x
  3. Step 3: Cross multiply
    361,570.55x = 498,914.91 × 200,425.50
  4. Step 4: Simplify right side
    361,570.55x = 99,995,270,294.21
  5. Step 5: Solve for x
    x = 99,995,270,294.21/361,570.55
  6. Step 6: Final answer
    x = 276,558.12

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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.