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Finding the Fourth Proportional to 534,285.72, 801,723.69 and 297,761.67

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Solution

The fourth proportional to 534,285.72, 801,723.69 and 297,761.67 is: 446,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,285.72 : 801,723.69 = 297,761.67 : x
  2. Step 2: Convert to fraction form
    534,285.72/801,723.69 = 297,761.67/x
  3. Step 3: Cross multiply
    534,285.72x = 801,723.69 × 297,761.67
  4. Step 4: Simplify right side
    534,285.72x = 238,722,584,812.96
  5. Step 5: Solve for x
    x = 238,722,584,812.96/534,285.72
  6. Step 6: Final answer
    x = 446,806.97

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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.