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Finding the Fourth Proportional to 511,986.21, 768,975.91 and 417,286.37

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Solution

The fourth proportional to 511,986.21, 768,975.91 and 417,286.37 is: 626,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,986.21 : 768,975.91 = 417,286.37 : x
  2. Step 2: Convert to fraction form
    511,986.21/768,975.91 = 417,286.37/x
  3. Step 3: Cross multiply
    511,986.21x = 768,975.91 × 417,286.37
  4. Step 4: Simplify right side
    511,986.21x = 320,883,166,101.35
  5. Step 5: Solve for x
    x = 320,883,166,101.35/511,986.21
  6. Step 6: Final answer
    x = 626,741.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.