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Finding the Fourth Proportional to 511,168.88, 705,384.24 and 281,725.44

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Solution

The fourth proportional to 511,168.88, 705,384.24 and 281,725.44 is: 388,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,168.88 : 705,384.24 = 281,725.44 : x
  2. Step 2: Convert to fraction form
    511,168.88/705,384.24 = 281,725.44/x
  3. Step 3: Cross multiply
    511,168.88x = 705,384.24 × 281,725.44
  4. Step 4: Simplify right side
    511,168.88x = 198,724,685,383.07
  5. Step 5: Solve for x
    x = 198,724,685,383.07/511,168.88
  6. Step 6: Final answer
    x = 388,765.23

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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.