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Finding the Fourth Proportional to 306,324.27, 459,145.90 and 231,200.82

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Solution

The fourth proportional to 306,324.27, 459,145.90 and 231,200.82 is: 346,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,324.27 : 459,145.90 = 231,200.82 : x
  2. Step 2: Convert to fraction form
    306,324.27/459,145.90 = 231,200.82/x
  3. Step 3: Cross multiply
    306,324.27x = 459,145.90 × 231,200.82
  4. Step 4: Simplify right side
    306,324.27x = 106,154,905,846.34
  5. Step 5: Solve for x
    x = 106,154,905,846.34/306,324.27
  6. Step 6: Final answer
    x = 346,544.23

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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.