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Finding the Fourth Proportional to 464,896.10, 697,016.10 and 212,297.60

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Solution

The fourth proportional to 464,896.10, 697,016.10 and 212,297.60 is: 318,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,896.10 : 697,016.10 = 212,297.60 : x
  2. Step 2: Convert to fraction form
    464,896.10/697,016.10 = 212,297.60/x
  3. Step 3: Cross multiply
    464,896.10x = 697,016.10 × 212,297.60
  4. Step 4: Simplify right side
    464,896.10x = 147,974,845,191.36
  5. Step 5: Solve for x
    x = 147,974,845,191.36/464,896.10
  6. Step 6: Final answer
    x = 318,296.59

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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.