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Finding the Fourth Proportional to 300,590.33, 414,814.66 and 164,624.60

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Solution

The fourth proportional to 300,590.33, 414,814.66 and 164,624.60 is: 227,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,590.33 : 414,814.66 = 164,624.60 : x
  2. Step 2: Convert to fraction form
    300,590.33/414,814.66 = 164,624.60/x
  3. Step 3: Cross multiply
    300,590.33x = 414,814.66 × 164,624.60
  4. Step 4: Simplify right side
    300,590.33x = 68,288,696,653.51
  5. Step 5: Solve for x
    x = 68,288,696,653.51/300,590.33
  6. Step 6: Final answer
    x = 227,181.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.