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Finding the Fourth Proportional to 277,419.92, 382,839.36 and 156,586.56

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Solution

The fourth proportional to 277,419.92, 382,839.36 and 156,586.56 is: 216,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,419.92 : 382,839.36 = 156,586.56 : x
  2. Step 2: Convert to fraction form
    277,419.92/382,839.36 = 156,586.56/x
  3. Step 3: Cross multiply
    277,419.92x = 382,839.36 × 156,586.56
  4. Step 4: Simplify right side
    277,419.92x = 59,947,498,415.00
  5. Step 5: Solve for x
    x = 59,947,498,415.00/277,419.92
  6. Step 6: Final answer
    x = 216,089.38

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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.