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Finding the Fourth Proportional to 307,872.12, 461,808 and 224,164.92

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Solution

The fourth proportional to 307,872.12, 461,808 and 224,164.92 is: 336,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872.12 : 461,808 = 224,164.92 : x
  2. Step 2: Convert to fraction form
    307,872.12/461,808 = 224,164.92/x
  3. Step 3: Cross multiply
    307,872.12x = 461,808 × 224,164.92
  4. Step 4: Simplify right side
    307,872.12x = 103,521,153,375.36
  5. Step 5: Solve for x
    x = 103,521,153,375.36/307,872.12
  6. Step 6: Final answer
    x = 336,247.25

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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.