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Finding the Fourth Proportional to 335,910.84, 504,027.24 and 209,518.57

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Solution

The fourth proportional to 335,910.84, 504,027.24 and 209,518.57 is: 314,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,910.84 : 504,027.24 = 209,518.57 : x
  2. Step 2: Convert to fraction form
    335,910.84/504,027.24 = 209,518.57/x
  3. Step 3: Cross multiply
    335,910.84x = 504,027.24 × 209,518.57
  4. Step 4: Simplify right side
    335,910.84x = 105,603,066,565.85
  5. Step 5: Solve for x
    x = 105,603,066,565.85/335,910.84
  6. Step 6: Final answer
    x = 314,378.27

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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.