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Finding the Fourth Proportional to 341,105.70, 470,719.92 and 188,157.84

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Solution

The fourth proportional to 341,105.70, 470,719.92 and 188,157.84 is: 259,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,105.70 : 470,719.92 = 188,157.84 : x
  2. Step 2: Convert to fraction form
    341,105.70/470,719.92 = 188,157.84/x
  3. Step 3: Cross multiply
    341,105.70x = 470,719.92 × 188,157.84
  4. Step 4: Simplify right side
    341,105.70x = 88,569,643,392.17
  5. Step 5: Solve for x
    x = 88,569,643,392.17/341,105.70
  6. Step 6: Final answer
    x = 259,654.54

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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.