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Finding the Fourth Proportional to 329,682.84, 494,118.90 and 151,943.16

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Solution

The fourth proportional to 329,682.84, 494,118.90 and 151,943.16 is: 227,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,682.84 : 494,118.90 = 151,943.16 : x
  2. Step 2: Convert to fraction form
    329,682.84/494,118.90 = 151,943.16/x
  3. Step 3: Cross multiply
    329,682.84x = 494,118.90 × 151,943.16
  4. Step 4: Simplify right side
    329,682.84x = 75,077,987,081.72
  5. Step 5: Solve for x
    x = 75,077,987,081.72/329,682.84
  6. Step 6: Final answer
    x = 227,727.92

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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.