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Finding the Fourth Proportional to 202,380.20, 283,747 and 202,380.20

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Solution

The fourth proportional to 202,380.20, 283,747 and 202,380.20 is: 283,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,380.20 : 283,747 = 202,380.20 : x
  2. Step 2: Convert to fraction form
    202,380.20/283,747 = 202,380.20/x
  3. Step 3: Cross multiply
    202,380.20x = 283,747 × 202,380.20
  4. Step 4: Simplify right side
    202,380.20x = 57,424,774,609.40
  5. Step 5: Solve for x
    x = 57,424,774,609.40/202,380.20
  6. Step 6: Final answer
    x = 283,747

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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.