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Finding the Fourth Proportional to 290,527.72, 400,945.38 and 218,781.16

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Solution

The fourth proportional to 290,527.72, 400,945.38 and 218,781.16 is: 301,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,527.72 : 400,945.38 = 218,781.16 : x
  2. Step 2: Convert to fraction form
    290,527.72/400,945.38 = 218,781.16/x
  3. Step 3: Cross multiply
    290,527.72x = 400,945.38 × 218,781.16
  4. Step 4: Simplify right side
    290,527.72x = 87,719,295,333.04
  5. Step 5: Solve for x
    x = 87,719,295,333.04/290,527.72
  6. Step 6: Final answer
    x = 301,930.90

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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.