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Finding the Fourth Proportional to 419,973.20, 629,959.80 and 412,974.80

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Solution

The fourth proportional to 419,973.20, 629,959.80 and 412,974.80 is: 619,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,973.20 : 629,959.80 = 412,974.80 : x
  2. Step 2: Convert to fraction form
    419,973.20/629,959.80 = 412,974.80/x
  3. Step 3: Cross multiply
    419,973.20x = 629,959.80 × 412,974.80
  4. Step 4: Simplify right side
    419,973.20x = 260,157,522,413.04
  5. Step 5: Solve for x
    x = 260,157,522,413.04/419,973.20
  6. Step 6: Final answer
    x = 619,462.20

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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.