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Finding the Fourth Proportional to 403,955.58, 557,433.24 and 222,657.48

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Solution

The fourth proportional to 403,955.58, 557,433.24 and 222,657.48 is: 307,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,955.58 : 557,433.24 = 222,657.48 : x
  2. Step 2: Convert to fraction form
    403,955.58/557,433.24 = 222,657.48/x
  3. Step 3: Cross multiply
    403,955.58x = 557,433.24 × 222,657.48
  4. Step 4: Simplify right side
    403,955.58x = 124,116,680,486.64
  5. Step 5: Solve for x
    x = 124,116,680,486.64/403,955.58
  6. Step 6: Final answer
    x = 307,253.29

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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.