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Finding the Fourth Proportional to 393,596.78, 543,156.75 and 223,827.02

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Solution

The fourth proportional to 393,596.78, 543,156.75 and 223,827.02 is: 308,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,596.78 : 543,156.75 = 223,827.02 : x
  2. Step 2: Convert to fraction form
    393,596.78/543,156.75 = 223,827.02/x
  3. Step 3: Cross multiply
    393,596.78x = 543,156.75 × 223,827.02
  4. Step 4: Simplify right side
    393,596.78x = 121,573,156,745.39
  5. Step 5: Solve for x
    x = 121,573,156,745.39/393,596.78
  6. Step 6: Final answer
    x = 308,877.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.