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Finding the Fourth Proportional to 308,794.40, 463,364.40 and 131,271.20

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Solution

The fourth proportional to 308,794.40, 463,364.40 and 131,271.20 is: 196,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,794.40 : 463,364.40 = 131,271.20 : x
  2. Step 2: Convert to fraction form
    308,794.40/463,364.40 = 131,271.20/x
  3. Step 3: Cross multiply
    308,794.40x = 463,364.40 × 131,271.20
  4. Step 4: Simplify right side
    308,794.40x = 60,826,400,825.28
  5. Step 5: Solve for x
    x = 60,826,400,825.28/308,794.40
  6. Step 6: Final answer
    x = 196,980.26

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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.