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Finding the Fourth Proportional to 406,533.52, 560,997.36 and 222,771.00

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Solution

The fourth proportional to 406,533.52, 560,997.36 and 222,771.00 is: 307,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,533.52 : 560,997.36 = 222,771.00 : x
  2. Step 2: Convert to fraction form
    406,533.52/560,997.36 = 222,771.00/x
  3. Step 3: Cross multiply
    406,533.52x = 560,997.36 × 222,771.00
  4. Step 4: Simplify right side
    406,533.52x = 124,973,944,988.30
  5. Step 5: Solve for x
    x = 124,973,944,988.30/406,533.52
  6. Step 6: Final answer
    x = 307,413.63

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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.