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Finding the Fourth Proportional to 467,882.93, 702,135.74 and 254,704.56

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Solution

The fourth proportional to 467,882.93, 702,135.74 and 254,704.56 is: 382,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,882.93 : 702,135.74 = 254,704.56 : x
  2. Step 2: Convert to fraction form
    467,882.93/702,135.74 = 254,704.56/x
  3. Step 3: Cross multiply
    467,882.93x = 702,135.74 × 254,704.56
  4. Step 4: Simplify right side
    467,882.93x = 178,837,173,443.45
  5. Step 5: Solve for x
    x = 178,837,173,443.45/467,882.93
  6. Step 6: Final answer
    x = 382,226.33

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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.