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Finding the Fourth Proportional to 492,984, 680,318.16 and 266,629.44

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Solution

The fourth proportional to 492,984, 680,318.16 and 266,629.44 is: 367,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,984 : 680,318.16 = 266,629.44 : x
  2. Step 2: Convert to fraction form
    492,984/680,318.16 = 266,629.44/x
  3. Step 3: Cross multiply
    492,984x = 680,318.16 × 266,629.44
  4. Step 4: Simplify right side
    492,984x = 181,392,850,022.63
  5. Step 5: Solve for x
    x = 181,392,850,022.63/492,984
  6. Step 6: Final answer
    x = 367,948.76

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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.