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Finding the Fourth Proportional to 277,489.14, 382,793.88 and 168,564.54

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Solution

The fourth proportional to 277,489.14, 382,793.88 and 168,564.54 is: 232,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.14 : 382,793.88 = 168,564.54 : x
  2. Step 2: Convert to fraction form
    277,489.14/382,793.88 = 168,564.54/x
  3. Step 3: Cross multiply
    277,489.14x = 382,793.88 × 168,564.54
  4. Step 4: Simplify right side
    277,489.14x = 64,525,474,942.35
  5. Step 5: Solve for x
    x = 64,525,474,942.35/277,489.14
  6. Step 6: Final answer
    x = 232,533.33

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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.