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Finding the Fourth Proportional to 196,563.38, 294,845.06 and 56,322

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Solution

The fourth proportional to 196,563.38, 294,845.06 and 56,322 is: 84,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,563.38 : 294,845.06 = 56,322 : x
  2. Step 2: Convert to fraction form
    196,563.38/294,845.06 = 56,322/x
  3. Step 3: Cross multiply
    196,563.38x = 294,845.06 × 56,322
  4. Step 4: Simplify right side
    196,563.38x = 16,606,263,610.13
  5. Step 5: Solve for x
    x = 16,606,263,610.13/196,563.38
  6. Step 6: Final answer
    x = 84,483

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.