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Finding the Fourth Proportional to 277,980.70, 417,432.22 and 173,463.97

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Solution

The fourth proportional to 277,980.70, 417,432.22 and 173,463.97 is: 260,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,980.70 : 417,432.22 = 173,463.97 : x
  2. Step 2: Convert to fraction form
    277,980.70/417,432.22 = 173,463.97/x
  3. Step 3: Cross multiply
    277,980.70x = 417,432.22 × 173,463.97
  4. Step 4: Simplify right side
    277,980.70x = 72,409,450,087.11
  5. Step 5: Solve for x
    x = 72,409,450,087.11/277,980.70
  6. Step 6: Final answer
    x = 260,483.73

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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.