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Finding the Fourth Proportional to 299,046.53, 448,062.03 and 180,468.71

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Solution

The fourth proportional to 299,046.53, 448,062.03 and 180,468.71 is: 270,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,046.53 : 448,062.03 = 180,468.71 : x
  2. Step 2: Convert to fraction form
    299,046.53/448,062.03 = 180,468.71/x
  3. Step 3: Cross multiply
    299,046.53x = 448,062.03 × 180,468.71
  4. Step 4: Simplify right side
    299,046.53x = 80,861,175,994.00
  5. Step 5: Solve for x
    x = 80,861,175,994.00/299,046.53
  6. Step 6: Final answer
    x = 270,396.63

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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.