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Finding the Fourth Proportional to 302,808.36, 454,400.46 and 205,647.24

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Solution

The fourth proportional to 302,808.36, 454,400.46 and 205,647.24 is: 308,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,808.36 : 454,400.46 = 205,647.24 : x
  2. Step 2: Convert to fraction form
    302,808.36/454,400.46 = 205,647.24/x
  3. Step 3: Cross multiply
    302,808.36x = 454,400.46 × 205,647.24
  4. Step 4: Simplify right side
    302,808.36x = 93,446,200,453.73
  5. Step 5: Solve for x
    x = 93,446,200,453.73/302,808.36
  6. Step 6: Final answer
    x = 308,598.48

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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.