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Finding the Fourth Proportional to 288,046.20, 432,069.30 and 161,556.60

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Solution

The fourth proportional to 288,046.20, 432,069.30 and 161,556.60 is: 242,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.20 : 432,069.30 = 161,556.60 : x
  2. Step 2: Convert to fraction form
    288,046.20/432,069.30 = 161,556.60/x
  3. Step 3: Cross multiply
    288,046.20x = 432,069.30 × 161,556.60
  4. Step 4: Simplify right side
    288,046.20x = 69,803,647,072.38
  5. Step 5: Solve for x
    x = 69,803,647,072.38/288,046.20
  6. Step 6: Final answer
    x = 242,334.90

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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.