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Finding the Fourth Proportional to 305,274.83, 457,934.11 and 80,633.03

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Solution

The fourth proportional to 305,274.83, 457,934.11 and 80,633.03 is: 120,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274.83 : 457,934.11 = 80,633.03 : x
  2. Step 2: Convert to fraction form
    305,274.83/457,934.11 = 80,633.03/x
  3. Step 3: Cross multiply
    305,274.83x = 457,934.11 × 80,633.03
  4. Step 4: Simplify right side
    305,274.83x = 36,924,614,829.65
  5. Step 5: Solve for x
    x = 36,924,614,829.65/305,274.83
  6. Step 6: Final answer
    x = 120,955.32

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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.