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Finding the Fourth Proportional to 304,451.28, 456,744.96 and 146,812.32

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Solution

The fourth proportional to 304,451.28, 456,744.96 and 146,812.32 is: 220,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,451.28 : 456,744.96 = 146,812.32 : x
  2. Step 2: Convert to fraction form
    304,451.28/456,744.96 = 146,812.32/x
  3. Step 3: Cross multiply
    304,451.28x = 456,744.96 × 146,812.32
  4. Step 4: Simplify right side
    304,451.28x = 67,055,787,225.91
  5. Step 5: Solve for x
    x = 67,055,787,225.91/304,451.28
  6. Step 6: Final answer
    x = 220,251.29

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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.