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Finding the Fourth Proportional to 301,927.12, 416,650.42 and 172,861.31

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Solution

The fourth proportional to 301,927.12, 416,650.42 and 172,861.31 is: 238,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,927.12 : 416,650.42 = 172,861.31 : x
  2. Step 2: Convert to fraction form
    301,927.12/416,650.42 = 172,861.31/x
  3. Step 3: Cross multiply
    301,927.12x = 416,650.42 × 172,861.31
  4. Step 4: Simplify right side
    301,927.12x = 72,022,737,413.25
  5. Step 5: Solve for x
    x = 72,022,737,413.25/301,927.12
  6. Step 6: Final answer
    x = 238,543.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.