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Finding the Fourth Proportional to 366,097.96, 505,065.06 and 222,743.08

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Solution

The fourth proportional to 366,097.96, 505,065.06 and 222,743.08 is: 307,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,097.96 : 505,065.06 = 222,743.08 : x
  2. Step 2: Convert to fraction form
    366,097.96/505,065.06 = 222,743.08/x
  3. Step 3: Cross multiply
    366,097.96x = 505,065.06 × 222,743.08
  4. Step 4: Simplify right side
    366,097.96x = 112,499,747,064.79
  5. Step 5: Solve for x
    x = 112,499,747,064.79/366,097.96
  6. Step 6: Final answer
    x = 307,294.11

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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.