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Finding the Fourth Proportional to 481,415.14, 664,390.30 and 266,575.20

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Solution

The fourth proportional to 481,415.14, 664,390.30 and 266,575.20 is: 367,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,415.14 : 664,390.30 = 266,575.20 : x
  2. Step 2: Convert to fraction form
    481,415.14/664,390.30 = 266,575.20/x
  3. Step 3: Cross multiply
    481,415.14x = 664,390.30 × 266,575.20
  4. Step 4: Simplify right side
    481,415.14x = 177,109,977,100.56
  5. Step 5: Solve for x
    x = 177,109,977,100.56/481,415.14
  6. Step 6: Final answer
    x = 367,894.49

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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.