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Finding the Fourth Proportional to 809,570.80, 1,214,356.20 and 388,745.20

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Solution

The fourth proportional to 809,570.80, 1,214,356.20 and 388,745.20 is: 583,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,570.80 : 1,214,356.20 = 388,745.20 : x
  2. Step 2: Convert to fraction form
    809,570.80/1,214,356.20 = 388,745.20/x
  3. Step 3: Cross multiply
    809,570.80x = 1,214,356.20 × 388,745.20
  4. Step 4: Simplify right side
    809,570.80x = 472,075,143,840.24
  5. Step 5: Solve for x
    x = 472,075,143,840.24/809,570.80
  6. Step 6: Final answer
    x = 583,117.80

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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.