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Finding the Fourth Proportional to 320,311.50, 480,757.03 and 170,678.18

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Solution

The fourth proportional to 320,311.50, 480,757.03 and 170,678.18 is: 256,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,311.50 : 480,757.03 = 170,678.18 : x
  2. Step 2: Convert to fraction form
    320,311.50/480,757.03 = 170,678.18/x
  3. Step 3: Cross multiply
    320,311.50x = 480,757.03 × 170,678.18
  4. Step 4: Simplify right side
    320,311.50x = 82,054,732,072.12
  5. Step 5: Solve for x
    x = 82,054,732,072.12/320,311.50
  6. Step 6: Final answer
    x = 256,171.67

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Why These Related Problems?

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