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Finding the Fourth Proportional to 329,678.56, 494,490.50 and 105,029.92

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Solution

The fourth proportional to 329,678.56, 494,490.50 and 105,029.92 is: 157,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,678.56 : 494,490.50 = 105,029.92 : x
  2. Step 2: Convert to fraction form
    329,678.56/494,490.50 = 105,029.92/x
  3. Step 3: Cross multiply
    329,678.56x = 494,490.50 × 105,029.92
  4. Step 4: Simplify right side
    329,678.56x = 51,936,297,655.76
  5. Step 5: Solve for x
    x = 51,936,297,655.76/329,678.56
  6. Step 6: Final answer
    x = 157,536.17

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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.