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Finding the Fourth Proportional to 299,715.48, 413,650.68 and 178,861.86

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Solution

The fourth proportional to 299,715.48, 413,650.68 and 178,861.86 is: 246,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,715.48 : 413,650.68 = 178,861.86 : x
  2. Step 2: Convert to fraction form
    299,715.48/413,650.68 = 178,861.86/x
  3. Step 3: Cross multiply
    299,715.48x = 413,650.68 × 178,861.86
  4. Step 4: Simplify right side
    299,715.48x = 73,986,330,015.06
  5. Step 5: Solve for x
    x = 73,986,330,015.06/299,715.48
  6. Step 6: Final answer
    x = 246,855.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.