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Finding the Fourth Proportional to 277,542, 383,017.29 and 170,091.33

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Solution

The fourth proportional to 277,542, 383,017.29 and 170,091.33 is: 234,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542 : 383,017.29 = 170,091.33 : x
  2. Step 2: Convert to fraction form
    277,542/383,017.29 = 170,091.33/x
  3. Step 3: Cross multiply
    277,542x = 383,017.29 × 170,091.33
  4. Step 4: Simplify right side
    277,542x = 65,147,920,269.10
  5. Step 5: Solve for x
    x = 65,147,920,269.10/277,542
  6. Step 6: Final answer
    x = 234,731.75

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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.