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Finding the Fourth Proportional to 492,078.40, 737,653.20 and 267,107.20

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Solution

The fourth proportional to 492,078.40, 737,653.20 and 267,107.20 is: 400,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,078.40 : 737,653.20 = 267,107.20 : x
  2. Step 2: Convert to fraction form
    492,078.40/737,653.20 = 267,107.20/x
  3. Step 3: Cross multiply
    492,078.40x = 737,653.20 × 267,107.20
  4. Step 4: Simplify right side
    492,078.40x = 197,032,480,823.04
  5. Step 5: Solve for x
    x = 197,032,480,823.04/492,078.40
  6. Step 6: Final answer
    x = 400,408.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.