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Finding the Fourth Proportional to 488,342, 735,840.56 and 401,540

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Solution

The fourth proportional to 488,342, 735,840.56 and 401,540 is: 605,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,342 : 735,840.56 = 401,540 : x
  2. Step 2: Convert to fraction form
    488,342/735,840.56 = 401,540/x
  3. Step 3: Cross multiply
    488,342x = 735,840.56 × 401,540
  4. Step 4: Simplify right side
    488,342x = 295,469,418,462.40
  5. Step 5: Solve for x
    x = 295,469,418,462.40/488,342
  6. Step 6: Final answer
    x = 605,046.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.