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Finding the Fourth Proportional to 297,474.86, 410,513.03 and 161,506.14

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Solution

The fourth proportional to 297,474.86, 410,513.03 and 161,506.14 is: 222,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,474.86 : 410,513.03 = 161,506.14 : x
  2. Step 2: Convert to fraction form
    297,474.86/410,513.03 = 161,506.14/x
  3. Step 3: Cross multiply
    297,474.86x = 410,513.03 × 161,506.14
  4. Step 4: Simplify right side
    297,474.86x = 66,300,374,895.00
  5. Step 5: Solve for x
    x = 66,300,374,895.00/297,474.86
  6. Step 6: Final answer
    x = 222,877.24

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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.