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Finding the Fourth Proportional to 511,163.03, 705,376.23 and 281,719.64

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Solution

The fourth proportional to 511,163.03, 705,376.23 and 281,719.64 is: 388,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,163.03 : 705,376.23 = 281,719.64 : x
  2. Step 2: Convert to fraction form
    511,163.03/705,376.23 = 281,719.64/x
  3. Step 3: Cross multiply
    511,163.03x = 705,376.23 × 281,719.64
  4. Step 4: Simplify right side
    511,163.03x = 198,718,334,053.28
  5. Step 5: Solve for x
    x = 198,718,334,053.28/511,163.03
  6. Step 6: Final answer
    x = 388,757.25

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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.