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Finding the Fourth Proportional to 316,174.56, 436,287.60 and 188,832.48

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Solution

The fourth proportional to 316,174.56, 436,287.60 and 188,832.48 is: 260,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,174.56 : 436,287.60 = 188,832.48 : x
  2. Step 2: Convert to fraction form
    316,174.56/436,287.60 = 188,832.48/x
  3. Step 3: Cross multiply
    316,174.56x = 436,287.60 × 188,832.48
  4. Step 4: Simplify right side
    316,174.56x = 82,385,269,501.25
  5. Step 5: Solve for x
    x = 82,385,269,501.25/316,174.56
  6. Step 6: Final answer
    x = 260,568.94

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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.