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Finding the Fourth Proportional to 305,275.63, 457,935.32 and 80,633.82

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Solution

The fourth proportional to 305,275.63, 457,935.32 and 80,633.82 is: 120,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,275.63 : 457,935.32 = 80,633.82 : x
  2. Step 2: Convert to fraction form
    305,275.63/457,935.32 = 80,633.82/x
  3. Step 3: Cross multiply
    305,275.63x = 457,935.32 × 80,633.82
  4. Step 4: Simplify right side
    305,275.63x = 36,925,074,164.52
  5. Step 5: Solve for x
    x = 36,925,074,164.52/305,275.63
  6. Step 6: Final answer
    x = 120,956.51

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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.