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Finding the Fourth Proportional to 539,384.60, 809,271.30 and 519,944.60

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Solution

The fourth proportional to 539,384.60, 809,271.30 and 519,944.60 is: 780,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,384.60 : 809,271.30 = 519,944.60 : x
  2. Step 2: Convert to fraction form
    539,384.60/809,271.30 = 519,944.60/x
  3. Step 3: Cross multiply
    539,384.60x = 809,271.30 × 519,944.60
  4. Step 4: Simplify right side
    539,384.60x = 420,776,242,369.98
  5. Step 5: Solve for x
    x = 420,776,242,369.98/539,384.60
  6. Step 6: Final answer
    x = 780,104.29

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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.