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Finding the Fourth Proportional to 379,373.44, 569,121.60 and 116,656

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Solution

The fourth proportional to 379,373.44, 569,121.60 and 116,656 is: 175,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,373.44 : 569,121.60 = 116,656 : x
  2. Step 2: Convert to fraction form
    379,373.44/569,121.60 = 116,656/x
  3. Step 3: Cross multiply
    379,373.44x = 569,121.60 × 116,656
  4. Step 4: Simplify right side
    379,373.44x = 66,391,449,369.60
  5. Step 5: Solve for x
    x = 66,391,449,369.60/379,373.44
  6. Step 6: Final answer
    x = 175,002.89

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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.