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Finding the Fourth Proportional to 295,532.88, 407,969.64 and 188,250

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Solution

The fourth proportional to 295,532.88, 407,969.64 and 188,250 is: 259,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,532.88 : 407,969.64 = 188,250 : x
  2. Step 2: Convert to fraction form
    295,532.88/407,969.64 = 188,250/x
  3. Step 3: Cross multiply
    295,532.88x = 407,969.64 × 188,250
  4. Step 4: Simplify right side
    295,532.88x = 76,800,284,730
  5. Step 5: Solve for x
    x = 76,800,284,730/295,532.88
  6. Step 6: Final answer
    x = 259,870.53

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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.