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Finding the Fourth Proportional to 428,192.38, 591,100.71 and 305,777.02

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Solution

The fourth proportional to 428,192.38, 591,100.71 and 305,777.02 is: 422,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,192.38 : 591,100.71 = 305,777.02 : x
  2. Step 2: Convert to fraction form
    428,192.38/591,100.71 = 305,777.02/x
  3. Step 3: Cross multiply
    428,192.38x = 591,100.71 × 305,777.02
  4. Step 4: Simplify right side
    428,192.38x = 180,745,013,623.68
  5. Step 5: Solve for x
    x = 180,745,013,623.68/428,192.38
  6. Step 6: Final answer
    x = 422,111.70

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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.