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Finding the Fourth Proportional to 325,702.90, 488,538.15 and 167,947.30

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Solution

The fourth proportional to 325,702.90, 488,538.15 and 167,947.30 is: 251,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,702.90 : 488,538.15 = 167,947.30 : x
  2. Step 2: Convert to fraction form
    325,702.90/488,538.15 = 167,947.30/x
  3. Step 3: Cross multiply
    325,702.90x = 488,538.15 × 167,947.30
  4. Step 4: Simplify right side
    325,702.90x = 82,048,663,239.50
  5. Step 5: Solve for x
    x = 82,048,663,239.50/325,702.90
  6. Step 6: Final answer
    x = 251,912.60

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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.