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Finding the Fourth Proportional to 447,354.44, 617,369.46 and 277,643.24

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Solution

The fourth proportional to 447,354.44, 617,369.46 and 277,643.24 is: 383,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,354.44 : 617,369.46 = 277,643.24 : x
  2. Step 2: Convert to fraction form
    447,354.44/617,369.46 = 277,643.24/x
  3. Step 3: Cross multiply
    447,354.44x = 617,369.46 × 277,643.24
  4. Step 4: Simplify right side
    447,354.44x = 171,408,457,151.45
  5. Step 5: Solve for x
    x = 171,408,457,151.45/447,354.44
  6. Step 6: Final answer
    x = 383,160.29

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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.