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Finding the Fourth Proportional to 460,755.63, 691,084.32 and 161,241.93

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Solution

The fourth proportional to 460,755.63, 691,084.32 and 161,241.93 is: 241,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,755.63 : 691,084.32 = 161,241.93 : x
  2. Step 2: Convert to fraction form
    460,755.63/691,084.32 = 161,241.93/x
  3. Step 3: Cross multiply
    460,755.63x = 691,084.32 × 161,241.93
  4. Step 4: Simplify right side
    460,755.63x = 111,431,769,549.54
  5. Step 5: Solve for x
    x = 111,431,769,549.54/460,755.63
  6. Step 6: Final answer
    x = 241,845.70

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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.