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Finding the Fourth Proportional to 341,093, 470,722.92 and 190,190

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Solution

The fourth proportional to 341,093, 470,722.92 and 190,190 is: 262,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,093 : 470,722.92 = 190,190 : x
  2. Step 2: Convert to fraction form
    341,093/470,722.92 = 190,190/x
  3. Step 3: Cross multiply
    341,093x = 470,722.92 × 190,190
  4. Step 4: Simplify right side
    341,093x = 89,526,792,154.80
  5. Step 5: Solve for x
    x = 89,526,792,154.80/341,093
  6. Step 6: Final answer
    x = 262,470.33

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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.