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Finding the Fourth Proportional to 401,814, 554,529.24 and 222,966

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Solution

The fourth proportional to 401,814, 554,529.24 and 222,966 is: 307,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,814 : 554,529.24 = 222,966 : x
  2. Step 2: Convert to fraction form
    401,814/554,529.24 = 222,966/x
  3. Step 3: Cross multiply
    401,814x = 554,529.24 × 222,966
  4. Step 4: Simplify right side
    401,814x = 123,641,166,525.84
  5. Step 5: Solve for x
    x = 123,641,166,525.84/401,814
  6. Step 6: Final answer
    x = 307,707.46

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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.