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Finding the Fourth Proportional to 329,719.73, 494,570.32 and 105,093.62

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Solution

The fourth proportional to 329,719.73, 494,570.32 and 105,093.62 is: 157,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,719.73 : 494,570.32 = 105,093.62 : x
  2. Step 2: Convert to fraction form
    329,719.73/494,570.32 = 105,093.62/x
  3. Step 3: Cross multiply
    329,719.73x = 494,570.32 × 105,093.62
  4. Step 4: Simplify right side
    329,719.73x = 51,976,184,392.41
  5. Step 5: Solve for x
    x = 51,976,184,392.41/329,719.73
  6. Step 6: Final answer
    x = 157,637.47

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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.