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Finding the Fourth Proportional to 511,100.64, 705,320 and 284,754.24

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Solution

The fourth proportional to 511,100.64, 705,320 and 284,754.24 is: 392,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,100.64 : 705,320 = 284,754.24 : x
  2. Step 2: Convert to fraction form
    511,100.64/705,320 = 284,754.24/x
  3. Step 3: Cross multiply
    511,100.64x = 705,320 × 284,754.24
  4. Step 4: Simplify right side
    511,100.64x = 200,842,860,556.80
  5. Step 5: Solve for x
    x = 200,842,860,556.80/511,100.64
  6. Step 6: Final answer
    x = 392,961.47

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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.