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Finding the Fourth Proportional to 467,861.80, 701,792.70 and 187,580.20

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Solution

The fourth proportional to 467,861.80, 701,792.70 and 187,580.20 is: 281,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,861.80 : 701,792.70 = 187,580.20 : x
  2. Step 2: Convert to fraction form
    467,861.80/701,792.70 = 187,580.20/x
  3. Step 3: Cross multiply
    467,861.80x = 701,792.70 × 187,580.20
  4. Step 4: Simplify right side
    467,861.80x = 131,642,415,024.54
  5. Step 5: Solve for x
    x = 131,642,415,024.54/467,861.80
  6. Step 6: Final answer
    x = 281,370.30

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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.