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Finding the Fourth Proportional to 323,645.32, 446,447.65 and 202,576.42

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Solution

The fourth proportional to 323,645.32, 446,447.65 and 202,576.42 is: 279,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,645.32 : 446,447.65 = 202,576.42 : x
  2. Step 2: Convert to fraction form
    323,645.32/446,447.65 = 202,576.42/x
  3. Step 3: Cross multiply
    323,645.32x = 446,447.65 × 202,576.42
  4. Step 4: Simplify right side
    323,645.32x = 90,439,765,830.23
  5. Step 5: Solve for x
    x = 90,439,765,830.23/323,645.32
  6. Step 6: Final answer
    x = 279,440.98

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