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Finding the Fourth Proportional to 273,778.17, 409,806.90 and 174,050.97

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Solution

The fourth proportional to 273,778.17, 409,806.90 and 174,050.97 is: 260,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,778.17 : 409,806.90 = 174,050.97 : x
  2. Step 2: Convert to fraction form
    273,778.17/409,806.90 = 174,050.97/x
  3. Step 3: Cross multiply
    273,778.17x = 409,806.90 × 174,050.97
  4. Step 4: Simplify right side
    273,778.17x = 71,327,288,457.69
  5. Step 5: Solve for x
    x = 71,327,288,457.69/273,778.17
  6. Step 6: Final answer
    x = 260,529.50

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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.