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Finding the Fourth Proportional to 353,213.36, 487,419.61 and 200,261.84

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Solution

The fourth proportional to 353,213.36, 487,419.61 and 200,261.84 is: 276,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,213.36 : 487,419.61 = 200,261.84 : x
  2. Step 2: Convert to fraction form
    353,213.36/487,419.61 = 200,261.84/x
  3. Step 3: Cross multiply
    353,213.36x = 487,419.61 × 200,261.84
  4. Step 4: Simplify right side
    353,213.36x = 97,611,546,369.23
  5. Step 5: Solve for x
    x = 97,611,546,369.23/353,213.36
  6. Step 6: Final answer
    x = 276,352.93

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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.