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Finding the Fourth Proportional to 309,259.13, 426,777.66 and 188,400.38

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Solution

The fourth proportional to 309,259.13, 426,777.66 and 188,400.38 is: 259,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,259.13 : 426,777.66 = 188,400.38 : x
  2. Step 2: Convert to fraction form
    309,259.13/426,777.66 = 188,400.38/x
  3. Step 3: Cross multiply
    309,259.13x = 426,777.66 × 188,400.38
  4. Step 4: Simplify right side
    309,259.13x = 80,405,073,319.51
  5. Step 5: Solve for x
    x = 80,405,073,319.51/309,259.13
  6. Step 6: Final answer
    x = 259,992.56

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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.