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Finding the Fourth Proportional to 310,049.30, 464,964.60 and 110,376.20

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Solution

The fourth proportional to 310,049.30, 464,964.60 and 110,376.20 is: 165,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,049.30 : 464,964.60 = 110,376.20 : x
  2. Step 2: Convert to fraction form
    310,049.30/464,964.60 = 110,376.20/x
  3. Step 3: Cross multiply
    310,049.30x = 464,964.60 × 110,376.20
  4. Step 4: Simplify right side
    310,049.30x = 51,321,025,682.52
  5. Step 5: Solve for x
    x = 51,321,025,682.52/310,049.30
  6. Step 6: Final answer
    x = 165,525.37

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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.