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Finding the Fourth Proportional to 307,536, 424,399.68 and 166,224

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Solution

The fourth proportional to 307,536, 424,399.68 and 166,224 is: 229,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,536 : 424,399.68 = 166,224 : x
  2. Step 2: Convert to fraction form
    307,536/424,399.68 = 166,224/x
  3. Step 3: Cross multiply
    307,536x = 424,399.68 × 166,224
  4. Step 4: Simplify right side
    307,536x = 70,545,412,408.32
  5. Step 5: Solve for x
    x = 70,545,412,408.32/307,536
  6. Step 6: Final answer
    x = 229,389.12

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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.