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Finding the Fourth Proportional to 300,467.61, 414,926.28 and 193,223.88

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Solution

The fourth proportional to 300,467.61, 414,926.28 and 193,223.88 is: 266,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,467.61 : 414,926.28 = 193,223.88 : x
  2. Step 2: Convert to fraction form
    300,467.61/414,926.28 = 193,223.88/x
  3. Step 3: Cross multiply
    300,467.61x = 414,926.28 × 193,223.88
  4. Step 4: Simplify right side
    300,467.61x = 80,173,665,735.57
  5. Step 5: Solve for x
    x = 80,173,665,735.57/300,467.61
  6. Step 6: Final answer
    x = 266,829.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.