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Finding the Fourth Proportional to 308,634.40, 462,472.74 and 214,049.08

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Solution

The fourth proportional to 308,634.40, 462,472.74 and 214,049.08 is: 320,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,634.40 : 462,472.74 = 214,049.08 : x
  2. Step 2: Convert to fraction form
    308,634.40/462,472.74 = 214,049.08/x
  3. Step 3: Cross multiply
    308,634.40x = 462,472.74 × 214,049.08
  4. Step 4: Simplify right side
    308,634.40x = 98,991,864,522.08
  5. Step 5: Solve for x
    x = 98,991,864,522.08/308,634.40
  6. Step 6: Final answer
    x = 320,741.51

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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.