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Finding the Fourth Proportional to 330,541.87, 456,242.36 and 194,654.64

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Solution

The fourth proportional to 330,541.87, 456,242.36 and 194,654.64 is: 268,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,541.87 : 456,242.36 = 194,654.64 : x
  2. Step 2: Convert to fraction form
    330,541.87/456,242.36 = 194,654.64/x
  3. Step 3: Cross multiply
    330,541.87x = 456,242.36 × 194,654.64
  4. Step 4: Simplify right side
    330,541.87x = 88,809,692,338.55
  5. Step 5: Solve for x
    x = 88,809,692,338.55/330,541.87
  6. Step 6: Final answer
    x = 268,679.10

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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.