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Finding the Fourth Proportional to 393,684.78, 543,005.10 and 262,796.52

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Solution

The fourth proportional to 393,684.78, 543,005.10 and 262,796.52 is: 362,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,684.78 : 543,005.10 = 262,796.52 : x
  2. Step 2: Convert to fraction form
    393,684.78/543,005.10 = 262,796.52/x
  3. Step 3: Cross multiply
    393,684.78x = 543,005.10 × 262,796.52
  4. Step 4: Simplify right side
    393,684.78x = 142,699,850,622.25
  5. Step 5: Solve for x
    x = 142,699,850,622.25/393,684.78
  6. Step 6: Final answer
    x = 362,472.36

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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.