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Finding the Fourth Proportional to 277,804.22, 383,347.08 and 156,956

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Solution

The fourth proportional to 277,804.22, 383,347.08 and 156,956 is: 216,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,804.22 : 383,347.08 = 156,956 : x
  2. Step 2: Convert to fraction form
    277,804.22/383,347.08 = 156,956/x
  3. Step 3: Cross multiply
    277,804.22x = 383,347.08 × 156,956
  4. Step 4: Simplify right side
    277,804.22x = 60,168,624,288.48
  5. Step 5: Solve for x
    x = 60,168,624,288.48/277,804.22
  6. Step 6: Final answer
    x = 216,586.43

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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.