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Finding the Fourth Proportional to 356,095.80, 491,411.34 and 194,949.42

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Solution

The fourth proportional to 356,095.80, 491,411.34 and 194,949.42 is: 269,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,095.80 : 491,411.34 = 194,949.42 : x
  2. Step 2: Convert to fraction form
    356,095.80/491,411.34 = 194,949.42/x
  3. Step 3: Cross multiply
    356,095.80x = 491,411.34 × 194,949.42
  4. Step 4: Simplify right side
    356,095.80x = 95,800,355,714.42
  5. Step 5: Solve for x
    x = 95,800,355,714.42/356,095.80
  6. Step 6: Final answer
    x = 269,029.73

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1.5x scale

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.