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Finding the Fourth Proportional to 464,805.19, 697,198.47 and 305,884.95

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Solution

The fourth proportional to 464,805.19, 697,198.47 and 305,884.95 is: 458,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,805.19 : 697,198.47 = 305,884.95 : x
  2. Step 2: Convert to fraction form
    464,805.19/697,198.47 = 305,884.95/x
  3. Step 3: Cross multiply
    464,805.19x = 697,198.47 × 305,884.95
  4. Step 4: Simplify right side
    464,805.19x = 213,262,519,136.03
  5. Step 5: Solve for x
    x = 213,262,519,136.03/464,805.19
  6. Step 6: Final answer
    x = 458,821.29

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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.