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Finding the Fourth Proportional to 413,093.80, 619,727.10 and 132,639.40

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Solution

The fourth proportional to 413,093.80, 619,727.10 and 132,639.40 is: 198,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,093.80 : 619,727.10 = 132,639.40 : x
  2. Step 2: Convert to fraction form
    413,093.80/619,727.10 = 132,639.40/x
  3. Step 3: Cross multiply
    413,093.80x = 619,727.10 × 132,639.40
  4. Step 4: Simplify right side
    413,093.80x = 82,200,230,707.74
  5. Step 5: Solve for x
    x = 82,200,230,707.74/413,093.80
  6. Step 6: Final answer
    x = 198,986.84

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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.