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Finding the Fourth Proportional to 308,442.80, 463,355.40 and 295,847.60

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Solution

The fourth proportional to 308,442.80, 463,355.40 and 295,847.60 is: 444,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,442.80 : 463,355.40 = 295,847.60 : x
  2. Step 2: Convert to fraction form
    308,442.80/463,355.40 = 295,847.60/x
  3. Step 3: Cross multiply
    308,442.80x = 463,355.40 × 295,847.60
  4. Step 4: Simplify right side
    308,442.80x = 137,082,583,037.04
  5. Step 5: Solve for x
    x = 137,082,583,037.04/308,442.80
  6. Step 6: Final answer
    x = 444,434.37

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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.