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Finding the Fourth Proportional to 403,987.44, 557,477.60 and 222,690

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Solution

The fourth proportional to 403,987.44, 557,477.60 and 222,690 is: 307,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,987.44 : 557,477.60 = 222,690 : x
  2. Step 2: Convert to fraction form
    403,987.44/557,477.60 = 222,690/x
  3. Step 3: Cross multiply
    403,987.44x = 557,477.60 × 222,690
  4. Step 4: Simplify right side
    403,987.44x = 124,144,686,744
  5. Step 5: Solve for x
    x = 124,144,686,744/403,987.44
  6. Step 6: Final answer
    x = 307,298.38

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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.