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Finding the Fourth Proportional to 311,780.69, 429,970.42 and 204,311.69

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Solution

The fourth proportional to 311,780.69, 429,970.42 and 204,311.69 is: 281,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,780.69 : 429,970.42 = 204,311.69 : x
  2. Step 2: Convert to fraction form
    311,780.69/429,970.42 = 204,311.69/x
  3. Step 3: Cross multiply
    311,780.69x = 429,970.42 × 204,311.69
  4. Step 4: Simplify right side
    311,780.69x = 87,847,984,490.53
  5. Step 5: Solve for x
    x = 87,847,984,490.53/311,780.69
  6. Step 6: Final answer
    x = 281,762.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.