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Finding the Fourth Proportional to 467,097.52, 644,699.49 and 305,858.92

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Solution

The fourth proportional to 467,097.52, 644,699.49 and 305,858.92 is: 422,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,097.52 : 644,699.49 = 305,858.92 : x
  2. Step 2: Convert to fraction form
    467,097.52/644,699.49 = 305,858.92/x
  3. Step 3: Cross multiply
    467,097.52x = 644,699.49 × 305,858.92
  4. Step 4: Simplify right side
    467,097.52x = 197,187,089,735.95
  5. Step 5: Solve for x
    x = 197,187,089,735.95/467,097.52
  6. Step 6: Final answer
    x = 422,154.01

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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.