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Finding the Fourth Proportional to 277,550.66, 415,889.94 and 214,525.10

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Solution

The fourth proportional to 277,550.66, 415,889.94 and 214,525.10 is: 321,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,550.66 : 415,889.94 = 214,525.10 : x
  2. Step 2: Convert to fraction form
    277,550.66/415,889.94 = 214,525.10/x
  3. Step 3: Cross multiply
    277,550.66x = 415,889.94 × 214,525.10
  4. Step 4: Simplify right side
    277,550.66x = 89,218,830,967.49
  5. Step 5: Solve for x
    x = 89,218,830,967.49/277,550.66
  6. Step 6: Final answer
    x = 321,450.62

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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.