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Finding the Fourth Proportional to 295,526.88, 407,961.36 and 188,244

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Solution

The fourth proportional to 295,526.88, 407,961.36 and 188,244 is: 259,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,526.88 : 407,961.36 = 188,244 : x
  2. Step 2: Convert to fraction form
    295,526.88/407,961.36 = 188,244/x
  3. Step 3: Cross multiply
    295,526.88x = 407,961.36 × 188,244
  4. Step 4: Simplify right side
    295,526.88x = 76,796,278,251.84
  5. Step 5: Solve for x
    x = 76,796,278,251.84/295,526.88
  6. Step 6: Final answer
    x = 259,862.24

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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.