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Finding the Fourth Proportional to 427,966.38, 590,586.30 and 236,975.67

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Solution

The fourth proportional to 427,966.38, 590,586.30 and 236,975.67 is: 327,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,966.38 : 590,586.30 = 236,975.67 : x
  2. Step 2: Convert to fraction form
    427,966.38/590,586.30 = 236,975.67/x
  3. Step 3: Cross multiply
    427,966.38x = 590,586.30 × 236,975.67
  4. Step 4: Simplify right side
    427,966.38x = 139,954,581,182.39
  5. Step 5: Solve for x
    x = 139,954,581,182.39/427,966.38
  6. Step 6: Final answer
    x = 327,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.