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Finding the Fourth Proportional to 524,151.82, 786,075.69 and 204,232.33

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Solution

The fourth proportional to 524,151.82, 786,075.69 and 204,232.33 is: 306,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,151.82 : 786,075.69 = 204,232.33 : x
  2. Step 2: Convert to fraction form
    524,151.82/786,075.69 = 204,232.33/x
  3. Step 3: Cross multiply
    524,151.82x = 786,075.69 × 204,232.33
  4. Step 4: Simplify right side
    524,151.82x = 160,542,067,759.87
  5. Step 5: Solve for x
    x = 160,542,067,759.87/524,151.82
  6. Step 6: Final answer
    x = 306,289.25

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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.