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Finding the Fourth Proportional to 305,624.25, 458,436.34 and 116,084.14

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Solution

The fourth proportional to 305,624.25, 458,436.34 and 116,084.14 is: 174,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,624.25 : 458,436.34 = 116,084.14 : x
  2. Step 2: Convert to fraction form
    305,624.25/458,436.34 = 116,084.14/x
  3. Step 3: Cross multiply
    305,624.25x = 458,436.34 × 116,084.14
  4. Step 4: Simplify right side
    305,624.25x = 53,217,188,273.65
  5. Step 5: Solve for x
    x = 53,217,188,273.65/305,624.25
  6. Step 6: Final answer
    x = 174,126.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.