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Finding the Fourth Proportional to 316,213.10, 436,377.24 and 172,970

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Solution

The fourth proportional to 316,213.10, 436,377.24 and 172,970 is: 238,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,213.10 : 436,377.24 = 172,970 : x
  2. Step 2: Convert to fraction form
    316,213.10/436,377.24 = 172,970/x
  3. Step 3: Cross multiply
    316,213.10x = 436,377.24 × 172,970
  4. Step 4: Simplify right side
    316,213.10x = 75,480,171,202.80
  5. Step 5: Solve for x
    x = 75,480,171,202.80/316,213.10
  6. Step 6: Final answer
    x = 238,700.33

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