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Finding the Fourth Proportional to 428,812.42, 591,747.40 and 235,217.38

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Solution

The fourth proportional to 428,812.42, 591,747.40 and 235,217.38 is: 324,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,812.42 : 591,747.40 = 235,217.38 : x
  2. Step 2: Convert to fraction form
    428,812.42/591,747.40 = 235,217.38/x
  3. Step 3: Cross multiply
    428,812.42x = 591,747.40 × 235,217.38
  4. Step 4: Simplify right side
    428,812.42x = 139,189,273,049.81
  5. Step 5: Solve for x
    x = 139,189,273,049.81/428,812.42
  6. Step 6: Final answer
    x = 324,592.45

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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.