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Finding the Fourth Proportional to 264,665.28, 397,019.78 and 84,776.96

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Solution

The fourth proportional to 264,665.28, 397,019.78 and 84,776.96 is: 127,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,665.28 : 397,019.78 = 84,776.96 : x
  2. Step 2: Convert to fraction form
    264,665.28/397,019.78 = 84,776.96/x
  3. Step 3: Cross multiply
    264,665.28x = 397,019.78 × 84,776.96
  4. Step 4: Simplify right side
    264,665.28x = 33,658,130,008.27
  5. Step 5: Solve for x
    x = 33,658,130,008.27/264,665.28
  6. Step 6: Final answer
    x = 127,172.44

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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.