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Finding the Fourth Proportional to 401,258.26, 553,734.35 and 217,496.09

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Solution

The fourth proportional to 401,258.26, 553,734.35 and 217,496.09 is: 300,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,258.26 : 553,734.35 = 217,496.09 : x
  2. Step 2: Convert to fraction form
    401,258.26/553,734.35 = 217,496.09/x
  3. Step 3: Cross multiply
    401,258.26x = 553,734.35 × 217,496.09
  4. Step 4: Simplify right side
    401,258.26x = 120,435,056,023.69
  5. Step 5: Solve for x
    x = 120,435,056,023.69/401,258.26
  6. Step 6: Final answer
    x = 300,143.49

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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.