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Finding the Fourth Proportional to 323,460.33, 446,378.34 and 178,271.38

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Solution

The fourth proportional to 323,460.33, 446,378.34 and 178,271.38 is: 246,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,460.33 : 446,378.34 = 178,271.38 : x
  2. Step 2: Convert to fraction form
    323,460.33/446,378.34 = 178,271.38/x
  3. Step 3: Cross multiply
    323,460.33x = 446,378.34 × 178,271.38
  4. Step 4: Simplify right side
    323,460.33x = 79,576,482,673.91
  5. Step 5: Solve for x
    x = 79,576,482,673.91/323,460.33
  6. Step 6: Final answer
    x = 246,016.20

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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.