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Finding the Fourth Proportional to 431,817.62, 596,149.22 and 303,150.92

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Solution

The fourth proportional to 431,817.62, 596,149.22 and 303,150.92 is: 418,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,817.62 : 596,149.22 = 303,150.92 : x
  2. Step 2: Convert to fraction form
    431,817.62/596,149.22 = 303,150.92/x
  3. Step 3: Cross multiply
    431,817.62x = 596,149.22 × 303,150.92
  4. Step 4: Simplify right side
    431,817.62x = 180,723,182,984.53
  5. Step 5: Solve for x
    x = 180,723,182,984.53/431,817.62
  6. Step 6: Final answer
    x = 418,517.39

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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.