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Finding the Fourth Proportional to 380,944.24, 525,720.40 and 217,615.12

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Solution

The fourth proportional to 380,944.24, 525,720.40 and 217,615.12 is: 300,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,944.24 : 525,720.40 = 217,615.12 : x
  2. Step 2: Convert to fraction form
    380,944.24/525,720.40 = 217,615.12/x
  3. Step 3: Cross multiply
    380,944.24x = 525,720.40 × 217,615.12
  4. Step 4: Simplify right side
    380,944.24x = 114,404,707,932.45
  5. Step 5: Solve for x
    x = 114,404,707,932.45/380,944.24
  6. Step 6: Final answer
    x = 300,318.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.