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Finding the Fourth Proportional to 329,718.96, 494,614.80 and 105,027.12

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Solution

The fourth proportional to 329,718.96, 494,614.80 and 105,027.12 is: 157,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,718.96 : 494,614.80 = 105,027.12 : x
  2. Step 2: Convert to fraction form
    329,718.96/494,614.80 = 105,027.12/x
  3. Step 3: Cross multiply
    329,718.96x = 494,614.80 × 105,027.12
  4. Step 4: Simplify right side
    329,718.96x = 51,947,967,953.38
  5. Step 5: Solve for x
    x = 51,947,967,953.38/329,718.96
  6. Step 6: Final answer
    x = 157,552.26

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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.