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Finding the Fourth Proportional to 471,349.89, 650,477.55 and 267,409.41

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Solution

The fourth proportional to 471,349.89, 650,477.55 and 267,409.41 is: 369,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,349.89 : 650,477.55 = 267,409.41 : x
  2. Step 2: Convert to fraction form
    471,349.89/650,477.55 = 267,409.41/x
  3. Step 3: Cross multiply
    471,349.89x = 650,477.55 × 267,409.41
  4. Step 4: Simplify right side
    471,349.89x = 173,943,817,863.75
  5. Step 5: Solve for x
    x = 173,943,817,863.75/471,349.89
  6. Step 6: Final answer
    x = 369,033.33

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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.