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Finding the Fourth Proportional to 338,877.56, 467,707.10 and 188,023.16

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Solution

The fourth proportional to 338,877.56, 467,707.10 and 188,023.16 is: 259,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,877.56 : 467,707.10 = 188,023.16 : x
  2. Step 2: Convert to fraction form
    338,877.56/467,707.10 = 188,023.16/x
  3. Step 3: Cross multiply
    338,877.56x = 467,707.10 × 188,023.16
  4. Step 4: Simplify right side
    338,877.56x = 87,939,766,896.44
  5. Step 5: Solve for x
    x = 87,939,766,896.44/338,877.56
  6. Step 6: Final answer
    x = 259,503.07

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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.