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Finding the Fourth Proportional to 370,284.30, 510,993.90 and 200,518.56

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Solution

The fourth proportional to 370,284.30, 510,993.90 and 200,518.56 is: 276,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,284.30 : 510,993.90 = 200,518.56 : x
  2. Step 2: Convert to fraction form
    370,284.30/510,993.90 = 200,518.56/x
  3. Step 3: Cross multiply
    370,284.30x = 510,993.90 × 200,518.56
  4. Step 4: Simplify right side
    370,284.30x = 102,463,760,996.78
  5. Step 5: Solve for x
    x = 102,463,760,996.78/370,284.30
  6. Step 6: Final answer
    x = 276,716.46

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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.