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Finding the Fourth Proportional to 535,198.64, 802,803.72 and 161,224.88

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Solution

The fourth proportional to 535,198.64, 802,803.72 and 161,224.88 is: 241,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,198.64 : 802,803.72 = 161,224.88 : x
  2. Step 2: Convert to fraction form
    535,198.64/802,803.72 = 161,224.88/x
  3. Step 3: Cross multiply
    535,198.64x = 802,803.72 × 161,224.88
  4. Step 4: Simplify right side
    535,198.64x = 129,431,933,420.55
  5. Step 5: Solve for x
    x = 129,431,933,420.55/535,198.64
  6. Step 6: Final answer
    x = 241,839.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.