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Finding the Fourth Proportional to 323,877.30, 485,729.55 and 113,493.30

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Solution

The fourth proportional to 323,877.30, 485,729.55 and 113,493.30 is: 170,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,877.30 : 485,729.55 = 113,493.30 : x
  2. Step 2: Convert to fraction form
    323,877.30/485,729.55 = 113,493.30/x
  3. Step 3: Cross multiply
    323,877.30x = 485,729.55 × 113,493.30
  4. Step 4: Simplify right side
    323,877.30x = 55,127,049,537.02
  5. Step 5: Solve for x
    x = 55,127,049,537.02/323,877.30
  6. Step 6: Final answer
    x = 170,209.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.