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Finding the Fourth Proportional to 362,084.85, 543,484.80 and 271,813.69

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Solution

The fourth proportional to 362,084.85, 543,484.80 and 271,813.69 is: 407,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,084.85 : 543,484.80 = 271,813.69 : x
  2. Step 2: Convert to fraction form
    362,084.85/543,484.80 = 271,813.69/x
  3. Step 3: Cross multiply
    362,084.85x = 543,484.80 × 271,813.69
  4. Step 4: Simplify right side
    362,084.85x = 147,726,608,861.79
  5. Step 5: Solve for x
    x = 147,726,608,861.79/362,084.85
  6. Step 6: Final answer
    x = 407,988.93

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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.