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Finding the Fourth Proportional to 471,894.72, 707,580.96 and 187,296.96

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Solution

The fourth proportional to 471,894.72, 707,580.96 and 187,296.96 is: 280,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,894.72 : 707,580.96 = 187,296.96 : x
  2. Step 2: Convert to fraction form
    471,894.72/707,580.96 = 187,296.96/x
  3. Step 3: Cross multiply
    471,894.72x = 707,580.96 × 187,296.96
  4. Step 4: Simplify right side
    471,894.72x = 132,527,762,761.88
  5. Step 5: Solve for x
    x = 132,527,762,761.88/471,894.72
  6. Step 6: Final answer
    x = 280,841.80

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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.