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Finding the Fourth Proportional to 462,209.94, 637,853.94 and 271,226.52

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Solution

The fourth proportional to 462,209.94, 637,853.94 and 271,226.52 is: 374,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,209.94 : 637,853.94 = 271,226.52 : x
  2. Step 2: Convert to fraction form
    462,209.94/637,853.94 = 271,226.52/x
  3. Step 3: Cross multiply
    462,209.94x = 637,853.94 × 271,226.52
  4. Step 4: Simplify right side
    462,209.94x = 173,002,904,414.49
  5. Step 5: Solve for x
    x = 173,002,904,414.49/462,209.94
  6. Step 6: Final answer
    x = 374,295.08

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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.