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Finding the Fourth Proportional to 418,698.12, 628,067.70 and 119,199.72

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Solution

The fourth proportional to 418,698.12, 628,067.70 and 119,199.72 is: 178,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,698.12 : 628,067.70 = 119,199.72 : x
  2. Step 2: Convert to fraction form
    418,698.12/628,067.70 = 119,199.72/x
  3. Step 3: Cross multiply
    418,698.12x = 628,067.70 × 119,199.72
  4. Step 4: Simplify right side
    418,698.12x = 74,865,493,981.04
  5. Step 5: Solve for x
    x = 74,865,493,981.04/418,698.12
  6. Step 6: Final answer
    x = 178,805.42

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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.