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Finding the Fourth Proportional to 361,717.44, 540,946.32 and 276,354.24

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Solution

The fourth proportional to 361,717.44, 540,946.32 and 276,354.24 is: 413,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,717.44 : 540,946.32 = 276,354.24 : x
  2. Step 2: Convert to fraction form
    361,717.44/540,946.32 = 276,354.24/x
  3. Step 3: Cross multiply
    361,717.44x = 540,946.32 × 276,354.24
  4. Step 4: Simplify right side
    361,717.44x = 149,492,809,144.40
  5. Step 5: Solve for x
    x = 149,492,809,144.40/361,717.44
  6. Step 6: Final answer
    x = 413,286.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.