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Finding the Fourth Proportional to 329,702.30, 494,548.07 and 105,059.70

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Solution

The fourth proportional to 329,702.30, 494,548.07 and 105,059.70 is: 157,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.30 : 494,548.07 = 105,059.70 : x
  2. Step 2: Convert to fraction form
    329,702.30/494,548.07 = 105,059.70/x
  3. Step 3: Cross multiply
    329,702.30x = 494,548.07 × 105,059.70
  4. Step 4: Simplify right side
    329,702.30x = 51,957,071,344.48
  5. Step 5: Solve for x
    x = 51,957,071,344.48/329,702.30
  6. Step 6: Final answer
    x = 157,587.84

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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.