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Finding the Fourth Proportional to 303,947.52, 419,467.46 and 201,813.08

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Solution

The fourth proportional to 303,947.52, 419,467.46 and 201,813.08 is: 278,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,947.52 : 419,467.46 = 201,813.08 : x
  2. Step 2: Convert to fraction form
    303,947.52/419,467.46 = 201,813.08/x
  3. Step 3: Cross multiply
    303,947.52x = 419,467.46 × 201,813.08
  4. Step 4: Simplify right side
    303,947.52x = 84,654,020,062.38
  5. Step 5: Solve for x
    x = 84,654,020,062.38/303,947.52
  6. Step 6: Final answer
    x = 278,515.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.