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Finding the Fourth Proportional to 470,667.28, 705,716.04 and 189,856.48

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Solution

The fourth proportional to 470,667.28, 705,716.04 and 189,856.48 is: 284,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,667.28 : 705,716.04 = 189,856.48 : x
  2. Step 2: Convert to fraction form
    470,667.28/705,716.04 = 189,856.48/x
  3. Step 3: Cross multiply
    470,667.28x = 705,716.04 × 189,856.48
  4. Step 4: Simplify right side
    470,667.28x = 133,984,763,233.94
  5. Step 5: Solve for x
    x = 133,984,763,233.94/470,667.28
  6. Step 6: Final answer
    x = 284,669.81

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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.