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Finding the Fourth Proportional to 295,534.88, 407,972.40 and 188,252

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Solution

The fourth proportional to 295,534.88, 407,972.40 and 188,252 is: 259,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,534.88 : 407,972.40 = 188,252 : x
  2. Step 2: Convert to fraction form
    295,534.88/407,972.40 = 188,252/x
  3. Step 3: Cross multiply
    295,534.88x = 407,972.40 × 188,252
  4. Step 4: Simplify right side
    295,534.88x = 76,801,620,244.80
  5. Step 5: Solve for x
    x = 76,801,620,244.80/295,534.88
  6. Step 6: Final answer
    x = 259,873.29

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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.