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Finding the Fourth Proportional to 384,696.40, 577,044.60 and 379,447.60

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Solution

The fourth proportional to 384,696.40, 577,044.60 and 379,447.60 is: 569,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,696.40 : 577,044.60 = 379,447.60 : x
  2. Step 2: Convert to fraction form
    384,696.40/577,044.60 = 379,447.60/x
  3. Step 3: Cross multiply
    384,696.40x = 577,044.60 × 379,447.60
  4. Step 4: Simplify right side
    384,696.40x = 218,958,188,562.96
  5. Step 5: Solve for x
    x = 218,958,188,562.96/384,696.40
  6. Step 6: Final answer
    x = 569,171.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.