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Finding the Fourth Proportional to 320,096, 441,741.39 and 176,865.28

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Solution

The fourth proportional to 320,096, 441,741.39 and 176,865.28 is: 244,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,096 : 441,741.39 = 176,865.28 : x
  2. Step 2: Convert to fraction form
    320,096/441,741.39 = 176,865.28/x
  3. Step 3: Cross multiply
    320,096x = 441,741.39 × 176,865.28
  4. Step 4: Simplify right side
    320,096x = 78,128,714,629.94
  5. Step 5: Solve for x
    x = 78,128,714,629.94/320,096
  6. Step 6: Final answer
    x = 244,079.01

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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.