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Finding the Fourth Proportional to 492,763.36, 680,015.10 and 266,410.48

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Solution

The fourth proportional to 492,763.36, 680,015.10 and 266,410.48 is: 367,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,763.36 : 680,015.10 = 266,410.48 : x
  2. Step 2: Convert to fraction form
    492,763.36/680,015.10 = 266,410.48/x
  3. Step 3: Cross multiply
    492,763.36x = 680,015.10 × 266,410.48
  4. Step 4: Simplify right side
    492,763.36x = 181,163,149,198.25
  5. Step 5: Solve for x
    x = 181,163,149,198.25/492,763.36
  6. Step 6: Final answer
    x = 367,647.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.