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Finding the Fourth Proportional to 523,172.92, 784,578.48 and 203,249.38

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Solution

The fourth proportional to 523,172.92, 784,578.48 and 203,249.38 is: 304,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,172.92 : 784,578.48 = 203,249.38 : x
  2. Step 2: Convert to fraction form
    523,172.92/784,578.48 = 203,249.38/x
  3. Step 3: Cross multiply
    523,172.92x = 784,578.48 × 203,249.38
  4. Step 4: Simplify right side
    523,172.92x = 159,465,089,621.34
  5. Step 5: Solve for x
    x = 159,465,089,621.34/523,172.92
  6. Step 6: Final answer
    x = 304,803.79

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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.