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Finding the Fourth Proportional to 340,201.42, 469,447.46 and 196,971.16

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Solution

The fourth proportional to 340,201.42, 469,447.46 and 196,971.16 is: 271,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,201.42 : 469,447.46 = 196,971.16 : x
  2. Step 2: Convert to fraction form
    340,201.42/469,447.46 = 196,971.16/x
  3. Step 3: Cross multiply
    340,201.42x = 469,447.46 × 196,971.16
  4. Step 4: Simplify right side
    340,201.42x = 92,467,610,755.25
  5. Step 5: Solve for x
    x = 92,467,610,755.25/340,201.42
  6. Step 6: Final answer
    x = 271,802.54

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1.5x scale

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.