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Finding the Fourth Proportional to 341,593.88, 511,705.38 and 313,691.36

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Solution

The fourth proportional to 341,593.88, 511,705.38 and 313,691.36 is: 469,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,593.88 : 511,705.38 = 313,691.36 : x
  2. Step 2: Convert to fraction form
    341,593.88/511,705.38 = 313,691.36/x
  3. Step 3: Cross multiply
    341,593.88x = 511,705.38 × 313,691.36
  4. Step 4: Simplify right side
    341,593.88x = 160,517,556,571.52
  5. Step 5: Solve for x
    x = 160,517,556,571.52/341,593.88
  6. Step 6: Final answer
    x = 469,907.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.