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Finding the Fourth Proportional to 312,634.84, 468,952.49 and 75,975.92

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Solution

The fourth proportional to 312,634.84, 468,952.49 and 75,975.92 is: 113,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,634.84 : 468,952.49 = 75,975.92 : x
  2. Step 2: Convert to fraction form
    312,634.84/468,952.49 = 75,975.92/x
  3. Step 3: Cross multiply
    312,634.84x = 468,952.49 × 75,975.92
  4. Step 4: Simplify right side
    312,634.84x = 35,629,098,678.28
  5. Step 5: Solve for x
    x = 35,629,098,678.28/312,634.84
  6. Step 6: Final answer
    x = 113,963.94

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1.5x scale

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.