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Finding the Fourth Proportional to 362,189.34, 499,797 and 219,028.32

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Solution

The fourth proportional to 362,189.34, 499,797 and 219,028.32 is: 302,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,189.34 : 499,797 = 219,028.32 : x
  2. Step 2: Convert to fraction form
    362,189.34/499,797 = 219,028.32/x
  3. Step 3: Cross multiply
    362,189.34x = 499,797 × 219,028.32
  4. Step 4: Simplify right side
    362,189.34x = 109,469,697,251.04
  5. Step 5: Solve for x
    x = 109,469,697,251.04/362,189.34
  6. Step 6: Final answer
    x = 302,244.39

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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.