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Finding the Fourth Proportional to 486,104.76, 729,324.90 and 201,947.94

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Solution

The fourth proportional to 486,104.76, 729,324.90 and 201,947.94 is: 302,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,104.76 : 729,324.90 = 201,947.94 : x
  2. Step 2: Convert to fraction form
    486,104.76/729,324.90 = 201,947.94/x
  3. Step 3: Cross multiply
    486,104.76x = 729,324.90 × 201,947.94
  4. Step 4: Simplify right side
    486,104.76x = 147,285,661,145.71
  5. Step 5: Solve for x
    x = 147,285,661,145.71/486,104.76
  6. Step 6: Final answer
    x = 302,991.60

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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.