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Finding the Fourth Proportional to 277,996.24, 383,625.48 and 164,751.76

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Solution

The fourth proportional to 277,996.24, 383,625.48 and 164,751.76 is: 227,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,996.24 : 383,625.48 = 164,751.76 : x
  2. Step 2: Convert to fraction form
    277,996.24/383,625.48 = 164,751.76/x
  3. Step 3: Cross multiply
    277,996.24x = 383,625.48 × 164,751.76
  4. Step 4: Simplify right side
    277,996.24x = 63,202,973,010.84
  5. Step 5: Solve for x
    x = 63,202,973,010.84/277,996.24
  6. Step 6: Final answer
    x = 227,351.90

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1.5x scale

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.