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Finding the Fourth Proportional to 777,659.75, 1,073,170.46 and 419,963.75

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Solution

The fourth proportional to 777,659.75, 1,073,170.46 and 419,963.75 is: 579,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,659.75 : 1,073,170.46 = 419,963.75 : x
  2. Step 2: Convert to fraction form
    777,659.75/1,073,170.46 = 419,963.75/x
  3. Step 3: Cross multiply
    777,659.75x = 1,073,170.46 × 419,963.75
  4. Step 4: Simplify right side
    777,659.75x = 450,692,690,770.83
  5. Step 5: Solve for x
    x = 450,692,690,770.83/777,659.75
  6. Step 6: Final answer
    x = 579,549.98

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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.