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Finding the Fourth Proportional to 311,440.48, 429,787.82 and 168,200.54

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Solution

The fourth proportional to 311,440.48, 429,787.82 and 168,200.54 is: 232,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,440.48 : 429,787.82 = 168,200.54 : x
  2. Step 2: Convert to fraction form
    311,440.48/429,787.82 = 168,200.54/x
  3. Step 3: Cross multiply
    311,440.48x = 429,787.82 × 168,200.54
  4. Step 4: Simplify right side
    311,440.48x = 72,290,543,409.42
  5. Step 5: Solve for x
    x = 72,290,543,409.42/311,440.48
  6. Step 6: Final answer
    x = 232,116.72

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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.