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Finding the Fourth Proportional to 274,063.20, 410,653.20 and 155,381.60

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Solution

The fourth proportional to 274,063.20, 410,653.20 and 155,381.60 is: 232,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,063.20 : 410,653.20 = 155,381.60 : x
  2. Step 2: Convert to fraction form
    274,063.20/410,653.20 = 155,381.60/x
  3. Step 3: Cross multiply
    274,063.20x = 410,653.20 × 155,381.60
  4. Step 4: Simplify right side
    274,063.20x = 63,807,951,261.12
  5. Step 5: Solve for x
    x = 63,807,951,261.12/274,063.20
  6. Step 6: Final answer
    x = 232,822.03

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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.