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Finding the Fourth Proportional to 511,212.04, 705,469.47 and 278,638.72

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Solution

The fourth proportional to 511,212.04, 705,469.47 and 278,638.72 is: 384,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,212.04 : 705,469.47 = 278,638.72 : x
  2. Step 2: Convert to fraction form
    511,212.04/705,469.47 = 278,638.72/x
  3. Step 3: Cross multiply
    511,212.04x = 705,469.47 × 278,638.72
  4. Step 4: Simplify right side
    511,212.04x = 196,571,107,311.31
  5. Step 5: Solve for x
    x = 196,571,107,311.31/511,212.04
  6. Step 6: Final answer
    x = 384,519.71

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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.