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Finding the Fourth Proportional to 316,464.53, 436,704.14 and 173,196.86

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Solution

The fourth proportional to 316,464.53, 436,704.14 and 173,196.86 is: 239,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,464.53 : 436,704.14 = 173,196.86 : x
  2. Step 2: Convert to fraction form
    316,464.53/436,704.14 = 173,196.86/x
  3. Step 3: Cross multiply
    316,464.53x = 436,704.14 × 173,196.86
  4. Step 4: Simplify right side
    316,464.53x = 75,635,784,046.47
  5. Step 5: Solve for x
    x = 75,635,784,046.47/316,464.53
  6. Step 6: Final answer
    x = 239,002.41

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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.