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Finding the Fourth Proportional to 539,771.80, 809,657.70 and 516,735.40

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Solution

The fourth proportional to 539,771.80, 809,657.70 and 516,735.40 is: 775,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,771.80 : 809,657.70 = 516,735.40 : x
  2. Step 2: Convert to fraction form
    539,771.80/809,657.70 = 516,735.40/x
  3. Step 3: Cross multiply
    539,771.80x = 809,657.70 × 516,735.40
  4. Step 4: Simplify right side
    539,771.80x = 418,378,795,472.58
  5. Step 5: Solve for x
    x = 418,378,795,472.58/539,771.80
  6. Step 6: Final answer
    x = 775,103.10

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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.