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Finding the Fourth Proportional to 310,512.10, 465,768.15 and 216,033.70

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Solution

The fourth proportional to 310,512.10, 465,768.15 and 216,033.70 is: 324,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,512.10 : 465,768.15 = 216,033.70 : x
  2. Step 2: Convert to fraction form
    310,512.10/465,768.15 = 216,033.70/x
  3. Step 3: Cross multiply
    310,512.10x = 465,768.15 × 216,033.70
  4. Step 4: Simplify right side
    310,512.10x = 100,621,616,786.66
  5. Step 5: Solve for x
    x = 100,621,616,786.66/310,512.10
  6. Step 6: Final answer
    x = 324,050.55

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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.