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Finding the Fourth Proportional to 401,674.24, 554,357.76 and 222,837.76

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Solution

The fourth proportional to 401,674.24, 554,357.76 and 222,837.76 is: 307,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,674.24 : 554,357.76 = 222,837.76 : x
  2. Step 2: Convert to fraction form
    401,674.24/554,357.76 = 222,837.76/x
  3. Step 3: Cross multiply
    401,674.24x = 554,357.76 × 222,837.76
  4. Step 4: Simplify right side
    401,674.24x = 123,531,841,477.02
  5. Step 5: Solve for x
    x = 123,531,841,477.02/401,674.24
  6. Step 6: Final answer
    x = 307,542.35

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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.