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Finding the Fourth Proportional to 333,466.80, 500,200.20 and 309,847.20

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Solution

The fourth proportional to 333,466.80, 500,200.20 and 309,847.20 is: 464,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,466.80 : 500,200.20 = 309,847.20 : x
  2. Step 2: Convert to fraction form
    333,466.80/500,200.20 = 309,847.20/x
  3. Step 3: Cross multiply
    333,466.80x = 500,200.20 × 309,847.20
  4. Step 4: Simplify right side
    333,466.80x = 154,985,631,409.44
  5. Step 5: Solve for x
    x = 154,985,631,409.44/333,466.80
  6. Step 6: Final answer
    x = 464,770.80

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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.