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Finding the Fourth Proportional to 428,191.38, 591,099.33 and 305,776.02

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Solution

The fourth proportional to 428,191.38, 591,099.33 and 305,776.02 is: 422,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,191.38 : 591,099.33 = 305,776.02 : x
  2. Step 2: Convert to fraction form
    428,191.38/591,099.33 = 305,776.02/x
  3. Step 3: Cross multiply
    428,191.38x = 591,099.33 × 305,776.02
  4. Step 4: Simplify right side
    428,191.38x = 180,744,000,552.07
  5. Step 5: Solve for x
    x = 180,744,000,552.07/428,191.38
  6. Step 6: Final answer
    x = 422,110.32

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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.