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Finding the Fourth Proportional to 305,274.63, 457,933.82 and 80,632.82

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Solution

The fourth proportional to 305,274.63, 457,933.82 and 80,632.82 is: 120,955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274.63 : 457,933.82 = 80,632.82 : x
  2. Step 2: Convert to fraction form
    305,274.63/457,933.82 = 80,632.82/x
  3. Step 3: Cross multiply
    305,274.63x = 457,933.82 × 80,632.82
  4. Step 4: Simplify right side
    305,274.63x = 36,924,496,021.64
  5. Step 5: Solve for x
    x = 36,924,496,021.64/305,274.63
  6. Step 6: Final answer
    x = 120,955.01

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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.