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Finding the Fourth Proportional to 346,969.62, 520,099.92 and 196,893

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Solution

The fourth proportional to 346,969.62, 520,099.92 and 196,893 is: 295,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,969.62 : 520,099.92 = 196,893 : x
  2. Step 2: Convert to fraction form
    346,969.62/520,099.92 = 196,893/x
  3. Step 3: Cross multiply
    346,969.62x = 520,099.92 × 196,893
  4. Step 4: Simplify right side
    346,969.62x = 102,404,033,548.56
  5. Step 5: Solve for x
    x = 102,404,033,548.56/346,969.62
  6. Step 6: Final answer
    x = 295,138.33

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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.