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Finding the Fourth Proportional to 511,249.23, 705,528.87 and 281,815.38

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Solution

The fourth proportional to 511,249.23, 705,528.87 and 281,815.38 is: 388,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,249.23 : 705,528.87 = 281,815.38 : x
  2. Step 2: Convert to fraction form
    511,249.23/705,528.87 = 281,815.38/x
  3. Step 3: Cross multiply
    511,249.23x = 705,528.87 × 281,815.38
  4. Step 4: Simplify right side
    511,249.23x = 198,828,884,836.20
  5. Step 5: Solve for x
    x = 198,828,884,836.20/511,249.23
  6. Step 6: Final answer
    x = 388,907.94

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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.