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Finding the Fourth Proportional to 341,048.50, 470,640.60 and 188,100.91

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Solution

The fourth proportional to 341,048.50, 470,640.60 and 188,100.91 is: 259,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,048.50 : 470,640.60 = 188,100.91 : x
  2. Step 2: Convert to fraction form
    341,048.50/470,640.60 = 188,100.91/x
  3. Step 3: Cross multiply
    341,048.50x = 470,640.60 × 188,100.91
  4. Step 4: Simplify right side
    341,048.50x = 88,527,925,142.95
  5. Step 5: Solve for x
    x = 88,527,925,142.95/341,048.50
  6. Step 6: Final answer
    x = 259,575.76

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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.