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Finding the Fourth Proportional to 323,706.31, 446,704.90 and 178,512.11

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Solution

The fourth proportional to 323,706.31, 446,704.90 and 178,512.11 is: 246,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,706.31 : 446,704.90 = 178,512.11 : x
  2. Step 2: Convert to fraction form
    323,706.31/446,704.90 = 178,512.11/x
  3. Step 3: Cross multiply
    323,706.31x = 446,704.90 × 178,512.11
  4. Step 4: Simplify right side
    323,706.31x = 79,742,234,246.34
  5. Step 5: Solve for x
    x = 79,742,234,246.34/323,706.31
  6. Step 6: Final answer
    x = 246,341.30

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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.