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Finding the Fourth Proportional to 567,362.68, 850,157.22 and 327,623.80

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Solution

The fourth proportional to 567,362.68, 850,157.22 and 327,623.80 is: 490,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,362.68 : 850,157.22 = 327,623.80 : x
  2. Step 2: Convert to fraction form
    567,362.68/850,157.22 = 327,623.80/x
  3. Step 3: Cross multiply
    567,362.68x = 850,157.22 × 327,623.80
  4. Step 4: Simplify right side
    567,362.68x = 278,531,739,013.84
  5. Step 5: Solve for x
    x = 278,531,739,013.84/567,362.68
  6. Step 6: Final answer
    x = 490,923.62

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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.