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Finding the Fourth Proportional to 511,168.38, 705,383.55 and 281,724.94

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Solution

The fourth proportional to 511,168.38, 705,383.55 and 281,724.94 is: 388,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,168.38 : 705,383.55 = 281,724.94 : x
  2. Step 2: Convert to fraction form
    511,168.38/705,383.55 = 281,724.94/x
  3. Step 3: Cross multiply
    511,168.38x = 705,383.55 × 281,724.94
  4. Step 4: Simplify right side
    511,168.38x = 198,724,138,300.74
  5. Step 5: Solve for x
    x = 198,724,138,300.74/511,168.38
  6. Step 6: Final answer
    x = 388,764.54

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1.5x scale

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.