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Finding the Fourth Proportional to 340,976, 470,546.91 and 190,073

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Solution

The fourth proportional to 340,976, 470,546.91 and 190,073 is: 262,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,976 : 470,546.91 = 190,073 : x
  2. Step 2: Convert to fraction form
    340,976/470,546.91 = 190,073/x
  3. Step 3: Cross multiply
    340,976x = 470,546.91 × 190,073
  4. Step 4: Simplify right side
    340,976x = 89,438,262,824.43
  5. Step 5: Solve for x
    x = 89,438,262,824.43/340,976
  6. Step 6: Final answer
    x = 262,300.76

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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.