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Finding the Fourth Proportional to 329,745.64, 494,657.70 and 105,027.16

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Solution

The fourth proportional to 329,745.64, 494,657.70 and 105,027.16 is: 157,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,745.64 : 494,657.70 = 105,027.16 : x
  2. Step 2: Convert to fraction form
    329,745.64/494,657.70 = 105,027.16/x
  3. Step 3: Cross multiply
    329,745.64x = 494,657.70 × 105,027.16
  4. Step 4: Simplify right side
    329,745.64x = 51,952,493,403.13
  5. Step 5: Solve for x
    x = 51,952,493,403.13/329,745.64
  6. Step 6: Final answer
    x = 157,553.24

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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.