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Finding the Fourth Proportional to 511,986.89, 768,976.94 and 417,287.06

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Solution

The fourth proportional to 511,986.89, 768,976.94 and 417,287.06 is: 626,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,986.89 : 768,976.94 = 417,287.06 : x
  2. Step 2: Convert to fraction form
    511,986.89/768,976.94 = 417,287.06/x
  3. Step 3: Cross multiply
    511,986.89x = 768,976.94 × 417,287.06
  4. Step 4: Simplify right side
    511,986.89x = 320,884,126,582.39
  5. Step 5: Solve for x
    x = 320,884,126,582.39/511,986.89
  6. Step 6: Final answer
    x = 626,742.85

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