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Finding the Fourth Proportional to 277,838.46, 383,398.05 and 156,984.84

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Solution

The fourth proportional to 277,838.46, 383,398.05 and 156,984.84 is: 216,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.46 : 383,398.05 = 156,984.84 : x
  2. Step 2: Convert to fraction form
    277,838.46/383,398.05 = 156,984.84/x
  3. Step 3: Cross multiply
    277,838.46x = 383,398.05 × 156,984.84
  4. Step 4: Simplify right side
    277,838.46x = 60,187,681,535.56
  5. Step 5: Solve for x
    x = 60,187,681,535.56/277,838.46
  6. Step 6: Final answer
    x = 216,628.33

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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.