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Finding the Fourth Proportional to 492,768.44, 680,022 and 266,415.56

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Solution

The fourth proportional to 492,768.44, 680,022 and 266,415.56 is: 367,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,768.44 : 680,022 = 266,415.56 : x
  2. Step 2: Convert to fraction form
    492,768.44/680,022 = 266,415.56/x
  3. Step 3: Cross multiply
    492,768.44x = 680,022 × 266,415.56
  4. Step 4: Simplify right side
    492,768.44x = 181,168,441,942.32
  5. Step 5: Solve for x
    x = 181,168,441,942.32/492,768.44
  6. Step 6: Final answer
    x = 367,654.31

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1.5x scale

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.