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Finding the Fourth Proportional to 471,825.73, 651,137.94 and 267,895.64

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Solution

The fourth proportional to 471,825.73, 651,137.94 and 267,895.64 is: 369,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,825.73 : 651,137.94 = 267,895.64 : x
  2. Step 2: Convert to fraction form
    471,825.73/651,137.94 = 267,895.64/x
  3. Step 3: Cross multiply
    471,825.73x = 651,137.94 × 267,895.64
  4. Step 4: Simplify right side
    471,825.73x = 174,437,015,164.58
  5. Step 5: Solve for x
    x = 174,437,015,164.58/471,825.73
  6. Step 6: Final answer
    x = 369,706.45

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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.