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Finding the Fourth Proportional to 284,257.86, 426,244.16 and 94,651.44

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Solution

The fourth proportional to 284,257.86, 426,244.16 and 94,651.44 is: 141,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,257.86 : 426,244.16 = 94,651.44 : x
  2. Step 2: Convert to fraction form
    284,257.86/426,244.16 = 94,651.44/x
  3. Step 3: Cross multiply
    284,257.86x = 426,244.16 × 94,651.44
  4. Step 4: Simplify right side
    284,257.86x = 40,344,623,535.59
  5. Step 5: Solve for x
    x = 40,344,623,535.59/284,257.86
  6. Step 6: Final answer
    x = 141,929.67

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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.