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Finding the Fourth Proportional to 412,771.72, 619,186.38 and 163,453

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Solution

The fourth proportional to 412,771.72, 619,186.38 and 163,453 is: 245,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,771.72 : 619,186.38 = 163,453 : x
  2. Step 2: Convert to fraction form
    412,771.72/619,186.38 = 163,453/x
  3. Step 3: Cross multiply
    412,771.72x = 619,186.38 × 163,453
  4. Step 4: Simplify right side
    412,771.72x = 101,207,871,370.14
  5. Step 5: Solve for x
    x = 101,207,871,370.14/412,771.72
  6. Step 6: Final answer
    x = 245,190.90

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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.