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Finding the Fourth Proportional to 362,708.27, 543,035.87 and 277,221.17

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Solution

The fourth proportional to 362,708.27, 543,035.87 and 277,221.17 is: 415,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,708.27 : 543,035.87 = 277,221.17 : x
  2. Step 2: Convert to fraction form
    362,708.27/543,035.87 = 277,221.17/x
  3. Step 3: Cross multiply
    362,708.27x = 543,035.87 × 277,221.17
  4. Step 4: Simplify right side
    362,708.27x = 150,541,035,132.08
  5. Step 5: Solve for x
    x = 150,541,035,132.08/362,708.27
  6. Step 6: Final answer
    x = 415,047.16

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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.