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Finding the Fourth Proportional to 323,254.72, 446,101.68 and 178,071.04

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Solution

The fourth proportional to 323,254.72, 446,101.68 and 178,071.04 is: 245,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,254.72 : 446,101.68 = 178,071.04 : x
  2. Step 2: Convert to fraction form
    323,254.72/446,101.68 = 178,071.04/x
  3. Step 3: Cross multiply
    323,254.72x = 446,101.68 × 178,071.04
  4. Step 4: Simplify right side
    323,254.72x = 79,437,790,103.35
  5. Step 5: Solve for x
    x = 79,437,790,103.35/323,254.72
  6. Step 6: Final answer
    x = 245,743.64

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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.