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Finding the Fourth Proportional to 329,702.40, 494,553.60 and 105,061.05

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Solution

The fourth proportional to 329,702.40, 494,553.60 and 105,061.05 is: 157,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.40 : 494,553.60 = 105,061.05 : x
  2. Step 2: Convert to fraction form
    329,702.40/494,553.60 = 105,061.05/x
  3. Step 3: Cross multiply
    329,702.40x = 494,553.60 × 105,061.05
  4. Step 4: Simplify right side
    329,702.40x = 51,958,320,497.28
  5. Step 5: Solve for x
    x = 51,958,320,497.28/329,702.40
  6. Step 6: Final answer
    x = 157,591.58

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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.