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Finding the Fourth Proportional to 305,311.40, 457,967.10 and 199,023.20

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Solution

The fourth proportional to 305,311.40, 457,967.10 and 199,023.20 is: 298,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,311.40 : 457,967.10 = 199,023.20 : x
  2. Step 2: Convert to fraction form
    305,311.40/457,967.10 = 199,023.20/x
  3. Step 3: Cross multiply
    305,311.40x = 457,967.10 × 199,023.20
  4. Step 4: Simplify right side
    305,311.40x = 91,146,077,736.72
  5. Step 5: Solve for x
    x = 91,146,077,736.72/305,311.40
  6. Step 6: Final answer
    x = 298,534.80

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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.