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Finding the Fourth Proportional to 304,496.10, 456,744.15 and 146,643.30

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Solution

The fourth proportional to 304,496.10, 456,744.15 and 146,643.30 is: 219,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,496.10 : 456,744.15 = 146,643.30 : x
  2. Step 2: Convert to fraction form
    304,496.10/456,744.15 = 146,643.30/x
  3. Step 3: Cross multiply
    304,496.10x = 456,744.15 × 146,643.30
  4. Step 4: Simplify right side
    304,496.10x = 66,978,469,411.70
  5. Step 5: Solve for x
    x = 66,978,469,411.70/304,496.10
  6. Step 6: Final answer
    x = 219,964.95

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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.