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Finding the Fourth Proportional to 400,906.63, 601,240.23 and 218,509

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Solution

The fourth proportional to 400,906.63, 601,240.23 and 218,509 is: 327,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,906.63 : 601,240.23 = 218,509 : x
  2. Step 2: Convert to fraction form
    400,906.63/601,240.23 = 218,509/x
  3. Step 3: Cross multiply
    400,906.63x = 601,240.23 × 218,509
  4. Step 4: Simplify right side
    400,906.63x = 131,376,401,417.07
  5. Step 5: Solve for x
    x = 131,376,401,417.07/400,906.63
  6. Step 6: Final answer
    x = 327,698.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.