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Finding the Fourth Proportional to 404,095.64, 557,655.73 and 222,814.07

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Solution

The fourth proportional to 404,095.64, 557,655.73 and 222,814.07 is: 307,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,095.64 : 557,655.73 = 222,814.07 : x
  2. Step 2: Convert to fraction form
    404,095.64/557,655.73 = 222,814.07/x
  3. Step 3: Cross multiply
    404,095.64x = 557,655.73 × 222,814.07
  4. Step 4: Simplify right side
    404,095.64x = 124,253,539,724.28
  5. Step 5: Solve for x
    x = 124,253,539,724.28/404,095.64
  6. Step 6: Final answer
    x = 307,485.48

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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.