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Finding the Fourth Proportional to 568,400.76, 852,353.10 and 302,097.24

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Solution

The fourth proportional to 568,400.76, 852,353.10 and 302,097.24 is: 453,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,400.76 : 852,353.10 = 302,097.24 : x
  2. Step 2: Convert to fraction form
    568,400.76/852,353.10 = 302,097.24/x
  3. Step 3: Cross multiply
    568,400.76x = 852,353.10 × 302,097.24
  4. Step 4: Simplify right side
    568,400.76x = 257,493,519,015.44
  5. Step 5: Solve for x
    x = 257,493,519,015.44/568,400.76
  6. Step 6: Final answer
    x = 453,014.03

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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.