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Finding the Fourth Proportional to 652,222.10, 978,333.15 and 231,443.30

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Solution

The fourth proportional to 652,222.10, 978,333.15 and 231,443.30 is: 347,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,222.10 : 978,333.15 = 231,443.30 : x
  2. Step 2: Convert to fraction form
    652,222.10/978,333.15 = 231,443.30/x
  3. Step 3: Cross multiply
    652,222.10x = 978,333.15 × 231,443.30
  4. Step 4: Simplify right side
    652,222.10x = 226,428,652,735.40
  5. Step 5: Solve for x
    x = 226,428,652,735.40/652,222.10
  6. Step 6: Final answer
    x = 347,164.95

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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.