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Finding the Fourth Proportional to 277,978.70, 417,429.21 and 173,461.97

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Solution

The fourth proportional to 277,978.70, 417,429.21 and 173,461.97 is: 260,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,978.70 : 417,429.21 = 173,461.97 : x
  2. Step 2: Convert to fraction form
    277,978.70/417,429.21 = 173,461.97/x
  3. Step 3: Cross multiply
    277,978.70x = 417,429.21 × 173,461.97
  4. Step 4: Simplify right side
    277,978.70x = 72,408,094,796.20
  5. Step 5: Solve for x
    x = 72,408,094,796.20/277,978.70
  6. Step 6: Final answer
    x = 260,480.73

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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.