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Finding the Fourth Proportional to 277,714.19, 382,982.31 and 191,535.46

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Solution

The fourth proportional to 277,714.19, 382,982.31 and 191,535.46 is: 264,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714.19 : 382,982.31 = 191,535.46 : x
  2. Step 2: Convert to fraction form
    277,714.19/382,982.31 = 191,535.46/x
  3. Step 3: Cross multiply
    277,714.19x = 382,982.31 × 191,535.46
  4. Step 4: Simplify right side
    277,714.19x = 73,354,691,960.26
  5. Step 5: Solve for x
    x = 73,354,691,960.26/277,714.19
  6. Step 6: Final answer
    x = 264,137.35

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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.