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Finding the Fourth Proportional to 346,711.80, 520,067.70 and 196,894.20

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Solution

The fourth proportional to 346,711.80, 520,067.70 and 196,894.20 is: 295,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,711.80 : 520,067.70 = 196,894.20 : x
  2. Step 2: Convert to fraction form
    346,711.80/520,067.70 = 196,894.20/x
  3. Step 3: Cross multiply
    346,711.80x = 520,067.70 × 196,894.20
  4. Step 4: Simplify right side
    346,711.80x = 102,398,313,737.34
  5. Step 5: Solve for x
    x = 102,398,313,737.34/346,711.80
  6. Step 6: Final answer
    x = 295,341.30

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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.