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Finding the Fourth Proportional to 277,406.37, 382,819.31 and 156,586.92

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Solution

The fourth proportional to 277,406.37, 382,819.31 and 156,586.92 is: 216,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406.37 : 382,819.31 = 156,586.92 : x
  2. Step 2: Convert to fraction form
    277,406.37/382,819.31 = 156,586.92/x
  3. Step 3: Cross multiply
    277,406.37x = 382,819.31 × 156,586.92
  4. Step 4: Simplify right side
    277,406.37x = 59,944,498,072.28
  5. Step 5: Solve for x
    x = 59,944,498,072.28/277,406.37
  6. Step 6: Final answer
    x = 216,089.12

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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.