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Finding the Fourth Proportional to 327,214.40, 490,821.60 and 116,859.20

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Solution

The fourth proportional to 327,214.40, 490,821.60 and 116,859.20 is: 175,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,214.40 : 490,821.60 = 116,859.20 : x
  2. Step 2: Convert to fraction form
    327,214.40/490,821.60 = 116,859.20/x
  3. Step 3: Cross multiply
    327,214.40x = 490,821.60 × 116,859.20
  4. Step 4: Simplify right side
    327,214.40x = 57,357,019,518.72
  5. Step 5: Solve for x
    x = 57,357,019,518.72/327,214.40
  6. Step 6: Final answer
    x = 175,288.80

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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.