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Finding the Fourth Proportional to 379,432, 523,703.46 and 218,380.06

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Solution

The fourth proportional to 379,432, 523,703.46 and 218,380.06 is: 301,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,432 : 523,703.46 = 218,380.06 : x
  2. Step 2: Convert to fraction form
    379,432/523,703.46 = 218,380.06/x
  3. Step 3: Cross multiply
    379,432x = 523,703.46 × 218,380.06
  4. Step 4: Simplify right side
    379,432x = 114,366,393,017.01
  5. Step 5: Solve for x
    x = 114,366,393,017.01/379,432
  6. Step 6: Final answer
    x = 301,414.73

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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.