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Finding the Fourth Proportional to 353,222.34, 487,432.02 and 200,270.82

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Solution

The fourth proportional to 353,222.34, 487,432.02 and 200,270.82 is: 276,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,222.34 : 487,432.02 = 200,270.82 : x
  2. Step 2: Convert to fraction form
    353,222.34/487,432.02 = 200,270.82/x
  3. Step 3: Cross multiply
    353,222.34x = 487,432.02 × 200,270.82
  4. Step 4: Simplify right side
    353,222.34x = 97,618,410,339.66
  5. Step 5: Solve for x
    x = 97,618,410,339.66/353,222.34
  6. Step 6: Final answer
    x = 276,365.34

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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.