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Finding the Fourth Proportional to 305,413.53, 458,120.31 and 95,051.55

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Solution

The fourth proportional to 305,413.53, 458,120.31 and 95,051.55 is: 142,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,413.53 : 458,120.31 = 95,051.55 : x
  2. Step 2: Convert to fraction form
    305,413.53/458,120.31 = 95,051.55/x
  3. Step 3: Cross multiply
    305,413.53x = 458,120.31 × 95,051.55
  4. Step 4: Simplify right side
    305,413.53x = 43,545,045,551.98
  5. Step 5: Solve for x
    x = 43,545,045,551.98/305,413.53
  6. Step 6: Final answer
    x = 142,577.33

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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.