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Finding the Fourth Proportional to 313,631.72, 470,376.65 and 145,059.54

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Solution

The fourth proportional to 313,631.72, 470,376.65 and 145,059.54 is: 217,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,631.72 : 470,376.65 = 145,059.54 : x
  2. Step 2: Convert to fraction form
    313,631.72/470,376.65 = 145,059.54/x
  3. Step 3: Cross multiply
    313,631.72x = 470,376.65 × 145,059.54
  4. Step 4: Simplify right side
    313,631.72x = 68,232,619,750.44
  5. Step 5: Solve for x
    x = 68,232,619,750.44/313,631.72
  6. Step 6: Final answer
    x = 217,556.50

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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.