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Finding the Fourth Proportional to 511,274.24, 705,544.32 and 284,913.92

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Solution

The fourth proportional to 511,274.24, 705,544.32 and 284,913.92 is: 393,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,274.24 : 705,544.32 = 284,913.92 : x
  2. Step 2: Convert to fraction form
    511,274.24/705,544.32 = 284,913.92/x
  3. Step 3: Cross multiply
    511,274.24x = 705,544.32 × 284,913.92
  4. Step 4: Simplify right side
    511,274.24x = 201,019,397,944.93
  5. Step 5: Solve for x
    x = 201,019,397,944.93/511,274.24
  6. Step 6: Final answer
    x = 393,173.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.