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Finding the Fourth Proportional to 362,204.64, 543,306.96 and 162,416.04

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Solution

The fourth proportional to 362,204.64, 543,306.96 and 162,416.04 is: 243,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,204.64 : 543,306.96 = 162,416.04 : x
  2. Step 2: Convert to fraction form
    362,204.64/543,306.96 = 162,416.04/x
  3. Step 3: Cross multiply
    362,204.64x = 543,306.96 × 162,416.04
  4. Step 4: Simplify right side
    362,204.64x = 88,241,764,947.64
  5. Step 5: Solve for x
    x = 88,241,764,947.64/362,204.64
  6. Step 6: Final answer
    x = 243,624.06

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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.