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Finding the Fourth Proportional to 289,832.88, 399,893.71 and 167,295.27

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Solution

The fourth proportional to 289,832.88, 399,893.71 and 167,295.27 is: 230,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,832.88 : 399,893.71 = 167,295.27 : x
  2. Step 2: Convert to fraction form
    289,832.88/399,893.71 = 167,295.27/x
  3. Step 3: Cross multiply
    289,832.88x = 399,893.71 × 167,295.27
  4. Step 4: Simplify right side
    289,832.88x = 66,900,327,580.79
  5. Step 5: Solve for x
    x = 66,900,327,580.79/289,832.88
  6. Step 6: Final answer
    x = 230,823.80

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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.