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Finding the Fourth Proportional to 202,977.80, 284,791 and 202,977.80

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Solution

The fourth proportional to 202,977.80, 284,791 and 202,977.80 is: 284,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,977.80 : 284,791 = 202,977.80 : x
  2. Step 2: Convert to fraction form
    202,977.80/284,791 = 202,977.80/x
  3. Step 3: Cross multiply
    202,977.80x = 284,791 × 202,977.80
  4. Step 4: Simplify right side
    202,977.80x = 57,806,250,639.80
  5. Step 5: Solve for x
    x = 57,806,250,639.80/202,977.80
  6. Step 6: Final answer
    x = 284,791

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.