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Finding the Fourth Proportional to 305,274.82, 457,934.09 and 80,633.01

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Solution

The fourth proportional to 305,274.82, 457,934.09 and 80,633.01 is: 120,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274.82 : 457,934.09 = 80,633.01 : x
  2. Step 2: Convert to fraction form
    305,274.82/457,934.09 = 80,633.01/x
  3. Step 3: Cross multiply
    305,274.82x = 457,934.09 × 80,633.01
  4. Step 4: Simplify right side
    305,274.82x = 36,924,604,259.89
  5. Step 5: Solve for x
    x = 36,924,604,259.89/305,274.82
  6. Step 6: Final answer
    x = 120,955.29

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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.