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Finding the Fourth Proportional to 323,673.42, 446,669.40 and 180,430.38

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Solution

The fourth proportional to 323,673.42, 446,669.40 and 180,430.38 is: 248,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,673.42 : 446,669.40 = 180,430.38 : x
  2. Step 2: Convert to fraction form
    323,673.42/446,669.40 = 180,430.38/x
  3. Step 3: Cross multiply
    323,673.42x = 446,669.40 × 180,430.38
  4. Step 4: Simplify right side
    323,673.42x = 80,592,729,576.37
  5. Step 5: Solve for x
    x = 80,592,729,576.37/323,673.42
  6. Step 6: Final answer
    x = 248,993.97

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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.