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Finding the Fourth Proportional to 277,687.94, 415,985.15 and 176,172.86

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Solution

The fourth proportional to 277,687.94, 415,985.15 and 176,172.86 is: 263,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.94 : 415,985.15 = 176,172.86 : x
  2. Step 2: Convert to fraction form
    277,687.94/415,985.15 = 176,172.86/x
  3. Step 3: Cross multiply
    277,687.94x = 415,985.15 × 176,172.86
  4. Step 4: Simplify right side
    277,687.94x = 73,285,290,632.24
  5. Step 5: Solve for x
    x = 73,285,290,632.24/277,687.94
  6. Step 6: Final answer
    x = 263,912.40

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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.