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Finding the Fourth Proportional to 468,865.80, 647,033.94 and 254,011.23

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Solution

The fourth proportional to 468,865.80, 647,033.94 and 254,011.23 is: 350,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,865.80 : 647,033.94 = 254,011.23 : x
  2. Step 2: Convert to fraction form
    468,865.80/647,033.94 = 254,011.23/x
  3. Step 3: Cross multiply
    468,865.80x = 647,033.94 × 254,011.23
  4. Step 4: Simplify right side
    468,865.80x = 164,353,886,951.15
  5. Step 5: Solve for x
    x = 164,353,886,951.15/468,865.80
  6. Step 6: Final answer
    x = 350,535.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.