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Finding the Fourth Proportional to 323,838.44, 446,875.86 and 178,635.48

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Solution

The fourth proportional to 323,838.44, 446,875.86 and 178,635.48 is: 246,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,838.44 : 446,875.86 = 178,635.48 : x
  2. Step 2: Convert to fraction form
    323,838.44/446,875.86 = 178,635.48/x
  3. Step 3: Cross multiply
    323,838.44x = 446,875.86 × 178,635.48
  4. Step 4: Simplify right side
    323,838.44x = 79,827,883,751.51
  5. Step 5: Solve for x
    x = 79,827,883,751.51/323,838.44
  6. Step 6: Final answer
    x = 246,505.28

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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.