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Finding the Fourth Proportional to 471,051.36, 650,169.99 and 267,223.77

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Solution

The fourth proportional to 471,051.36, 650,169.99 and 267,223.77 is: 368,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,051.36 : 650,169.99 = 267,223.77 : x
  2. Step 2: Convert to fraction form
    471,051.36/650,169.99 = 267,223.77/x
  3. Step 3: Cross multiply
    471,051.36x = 650,169.99 × 267,223.77
  4. Step 4: Simplify right side
    471,051.36x = 173,740,875,868.66
  5. Step 5: Solve for x
    x = 173,740,875,868.66/471,051.36
  6. Step 6: Final answer
    x = 368,836.37

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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.