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Finding the Fourth Proportional to 419,044.53, 628,462.66 and 119,527.69

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Solution

The fourth proportional to 419,044.53, 628,462.66 and 119,527.69 is: 179,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,044.53 : 628,462.66 = 119,527.69 : x
  2. Step 2: Convert to fraction form
    419,044.53/628,462.66 = 119,527.69/x
  3. Step 3: Cross multiply
    419,044.53x = 628,462.66 × 119,527.69
  4. Step 4: Simplify right side
    419,044.53x = 75,118,690,001.06
  5. Step 5: Solve for x
    x = 75,118,690,001.06/419,044.53
  6. Step 6: Final answer
    x = 179,261.83

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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.