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Finding the Fourth Proportional to 470,272.96, 705,228.92 and 200,229.89

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Solution

The fourth proportional to 470,272.96, 705,228.92 and 200,229.89 is: 300,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,272.96 : 705,228.92 = 200,229.89 : x
  2. Step 2: Convert to fraction form
    470,272.96/705,228.92 = 200,229.89/x
  3. Step 3: Cross multiply
    470,272.96x = 705,228.92 × 200,229.89
  4. Step 4: Simplify right side
    470,272.96x = 141,207,905,550.27
  5. Step 5: Solve for x
    x = 141,207,905,550.27/470,272.96
  6. Step 6: Final answer
    x = 300,267.97

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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.