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Finding the Fourth Proportional to 230,238.85, 315,428.37 and 221,609.75

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Solution

The fourth proportional to 230,238.85, 315,428.37 and 221,609.75 is: 303,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,238.85 : 315,428.37 = 221,609.75 : x
  2. Step 2: Convert to fraction form
    230,238.85/315,428.37 = 221,609.75/x
  3. Step 3: Cross multiply
    230,238.85x = 315,428.37 × 221,609.75
  4. Step 4: Simplify right side
    230,238.85x = 69,901,999,533.42
  5. Step 5: Solve for x
    x = 69,901,999,533.42/230,238.85
  6. Step 6: Final answer
    x = 303,606.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.