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Finding the Fourth Proportional to 419,514.59, 628,850.53 and 134,996.04

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Solution

The fourth proportional to 419,514.59, 628,850.53 and 134,996.04 is: 202,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,514.59 : 628,850.53 = 134,996.04 : x
  2. Step 2: Convert to fraction form
    419,514.59/628,850.53 = 134,996.04/x
  3. Step 3: Cross multiply
    419,514.59x = 628,850.53 × 134,996.04
  4. Step 4: Simplify right side
    419,514.59x = 84,892,330,964.41
  5. Step 5: Solve for x
    x = 84,892,330,964.41/419,514.59
  6. Step 6: Final answer
    x = 202,358.47

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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.