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Finding the Fourth Proportional to 601,977.60, 902,974.08 and 414,938.88

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Solution

The fourth proportional to 601,977.60, 902,974.08 and 414,938.88 is: 622,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,977.60 : 902,974.08 = 414,938.88 : x
  2. Step 2: Convert to fraction form
    601,977.60/902,974.08 = 414,938.88/x
  3. Step 3: Cross multiply
    601,977.60x = 902,974.08 × 414,938.88
  4. Step 4: Simplify right side
    601,977.60x = 374,679,053,424.23
  5. Step 5: Solve for x
    x = 374,679,053,424.23/601,977.60
  6. Step 6: Final answer
    x = 622,413.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.