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Finding the Fourth Proportional to 308,924.80, 464,078.40 and 296,329.60

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Solution

The fourth proportional to 308,924.80, 464,078.40 and 296,329.60 is: 445,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,924.80 : 464,078.40 = 296,329.60 : x
  2. Step 2: Convert to fraction form
    308,924.80/464,078.40 = 296,329.60/x
  3. Step 3: Cross multiply
    308,924.80x = 464,078.40 × 296,329.60
  4. Step 4: Simplify right side
    308,924.80x = 137,520,166,640.64
  5. Step 5: Solve for x
    x = 137,520,166,640.64/308,924.80
  6. Step 6: Final answer
    x = 445,157.42

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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.