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Finding the Fourth Proportional to 511,292.44, 705,588.33 and 281,858.52

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Solution

The fourth proportional to 511,292.44, 705,588.33 and 281,858.52 is: 388,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,292.44 : 705,588.33 = 281,858.52 : x
  2. Step 2: Convert to fraction form
    511,292.44/705,588.33 = 281,858.52/x
  3. Step 3: Cross multiply
    511,292.44x = 705,588.33 × 281,858.52
  4. Step 4: Simplify right side
    511,292.44x = 198,876,082,423.07
  5. Step 5: Solve for x
    x = 198,876,082,423.07/511,292.44
  6. Step 6: Final answer
    x = 388,967.38

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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.