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Finding the Fourth Proportional to 323,071.69, 484,170.81 and 233,268

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Solution

The fourth proportional to 323,071.69, 484,170.81 and 233,268 is: 349,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,071.69 : 484,170.81 = 233,268 : x
  2. Step 2: Convert to fraction form
    323,071.69/484,170.81 = 233,268/x
  3. Step 3: Cross multiply
    323,071.69x = 484,170.81 × 233,268
  4. Step 4: Simplify right side
    323,071.69x = 112,941,556,507.08
  5. Step 5: Solve for x
    x = 112,941,556,507.08/323,071.69
  6. Step 6: Final answer
    x = 349,586.67

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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.