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Finding the Fourth Proportional to 277,808.24, 383,352.60 and 156,960

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Solution

The fourth proportional to 277,808.24, 383,352.60 and 156,960 is: 216,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,808.24 : 383,352.60 = 156,960 : x
  2. Step 2: Convert to fraction form
    277,808.24/383,352.60 = 156,960/x
  3. Step 3: Cross multiply
    277,808.24x = 383,352.60 × 156,960
  4. Step 4: Simplify right side
    277,808.24x = 60,171,024,096
  5. Step 5: Solve for x
    x = 60,171,024,096/277,808.24
  6. Step 6: Final answer
    x = 216,591.93

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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.