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Finding the Fourth Proportional to 354,255.52, 530,994.48 and 196,428.64

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Solution

The fourth proportional to 354,255.52, 530,994.48 and 196,428.64 is: 294,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,255.52 : 530,994.48 = 196,428.64 : x
  2. Step 2: Convert to fraction form
    354,255.52/530,994.48 = 196,428.64/x
  3. Step 3: Cross multiply
    354,255.52x = 530,994.48 × 196,428.64
  4. Step 4: Simplify right side
    354,255.52x = 104,302,523,553.91
  5. Step 5: Solve for x
    x = 104,302,523,553.91/354,255.52
  6. Step 6: Final answer
    x = 294,427.38

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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.