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Finding the Fourth Proportional to 544,286.64, 816,801.48 and 189,297.12

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Solution

The fourth proportional to 544,286.64, 816,801.48 and 189,297.12 is: 284,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,286.64 : 816,801.48 = 189,297.12 : x
  2. Step 2: Convert to fraction form
    544,286.64/816,801.48 = 189,297.12/x
  3. Step 3: Cross multiply
    544,286.64x = 816,801.48 × 189,297.12
  4. Step 4: Simplify right side
    544,286.64x = 154,618,167,775.74
  5. Step 5: Solve for x
    x = 154,618,167,775.74/544,286.64
  6. Step 6: Final answer
    x = 284,074.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.