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Finding the Fourth Proportional to 361,842.66, 499,373.46 and 200,749.50

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Solution

The fourth proportional to 361,842.66, 499,373.46 and 200,749.50 is: 277,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,842.66 : 499,373.46 = 200,749.50 : x
  2. Step 2: Convert to fraction form
    361,842.66/499,373.46 = 200,749.50/x
  3. Step 3: Cross multiply
    361,842.66x = 499,373.46 × 200,749.50
  4. Step 4: Simplify right side
    361,842.66x = 100,248,972,408.27
  5. Step 5: Solve for x
    x = 100,248,972,408.27/361,842.66
  6. Step 6: Final answer
    x = 277,051.28

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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.