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Finding the Fourth Proportional to 316,662, 436,983.68 and 173,418.32

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Solution

The fourth proportional to 316,662, 436,983.68 and 173,418.32 is: 239,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,662 : 436,983.68 = 173,418.32 : x
  2. Step 2: Convert to fraction form
    316,662/436,983.68 = 173,418.32/x
  3. Step 3: Cross multiply
    316,662x = 436,983.68 × 173,418.32
  4. Step 4: Simplify right side
    316,662x = 75,780,975,653.02
  5. Step 5: Solve for x
    x = 75,780,975,653.02/316,662
  6. Step 6: Final answer
    x = 239,311.87

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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.