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Finding the Fourth Proportional to 308,462.18, 425,552.54 and 200,993

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Solution

The fourth proportional to 308,462.18, 425,552.54 and 200,993 is: 277,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,462.18 : 425,552.54 = 200,993 : x
  2. Step 2: Convert to fraction form
    308,462.18/425,552.54 = 200,993/x
  3. Step 3: Cross multiply
    308,462.18x = 425,552.54 × 200,993
  4. Step 4: Simplify right side
    308,462.18x = 85,533,081,672.22
  5. Step 5: Solve for x
    x = 85,533,081,672.22/308,462.18
  6. Step 6: Final answer
    x = 277,288.72

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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.