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Finding the Fourth Proportional to 500,571.69, 750,952.31 and 201,075.71

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Solution

The fourth proportional to 500,571.69, 750,952.31 and 201,075.71 is: 301,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,571.69 : 750,952.31 = 201,075.71 : x
  2. Step 2: Convert to fraction form
    500,571.69/750,952.31 = 201,075.71/x
  3. Step 3: Cross multiply
    500,571.69x = 750,952.31 × 201,075.71
  4. Step 4: Simplify right side
    500,571.69x = 150,998,264,149.25
  5. Step 5: Solve for x
    x = 150,998,264,149.25/500,571.69
  6. Step 6: Final answer
    x = 301,651.63

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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.