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Finding the Fourth Proportional to 329,702.85, 494,548.91 and 105,060.25

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Solution

The fourth proportional to 329,702.85, 494,548.91 and 105,060.25 is: 157,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.85 : 494,548.91 = 105,060.25 : x
  2. Step 2: Convert to fraction form
    329,702.85/494,548.91 = 105,060.25/x
  3. Step 3: Cross multiply
    329,702.85x = 494,548.91 × 105,060.25
  4. Step 4: Simplify right side
    329,702.85x = 51,957,432,608.69
  5. Step 5: Solve for x
    x = 51,957,432,608.69/329,702.85
  6. Step 6: Final answer
    x = 157,588.67

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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.