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Finding the Fourth Proportional to 293,690.41, 440,398.01 and 172,147.88

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Solution

The fourth proportional to 293,690.41, 440,398.01 and 172,147.88 is: 258,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,690.41 : 440,398.01 = 172,147.88 : x
  2. Step 2: Convert to fraction form
    293,690.41/440,398.01 = 172,147.88/x
  3. Step 3: Cross multiply
    293,690.41x = 440,398.01 × 172,147.88
  4. Step 4: Simplify right side
    293,690.41x = 75,813,585,309.08
  5. Step 5: Solve for x
    x = 75,813,585,309.08/293,690.41
  6. Step 6: Final answer
    x = 258,141.17

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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.