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Finding the Fourth Proportional to 328,267.36, 492,453.53 and 138,729.56

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Solution

The fourth proportional to 328,267.36, 492,453.53 and 138,729.56 is: 208,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,267.36 : 492,453.53 = 138,729.56 : x
  2. Step 2: Convert to fraction form
    328,267.36/492,453.53 = 138,729.56/x
  3. Step 3: Cross multiply
    328,267.36x = 492,453.53 × 138,729.56
  4. Step 4: Simplify right side
    328,267.36x = 68,317,861,537.35
  5. Step 5: Solve for x
    x = 68,317,861,537.35/328,267.36
  6. Step 6: Final answer
    x = 208,116.52

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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.