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Finding the Fourth Proportional to 283,741.40, 424,861.22 and 171,271.28

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Solution

The fourth proportional to 283,741.40, 424,861.22 and 171,271.28 is: 256,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,741.40 : 424,861.22 = 171,271.28 : x
  2. Step 2: Convert to fraction form
    283,741.40/424,861.22 = 171,271.28/x
  3. Step 3: Cross multiply
    283,741.40x = 424,861.22 × 171,271.28
  4. Step 4: Simplify right side
    283,741.40x = 72,766,521,991.10
  5. Step 5: Solve for x
    x = 72,766,521,991.10/283,741.40
  6. Step 6: Final answer
    x = 256,453.67

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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.