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Finding the Fourth Proportional to 311,047.90, 466,629.45 and 100,692.70

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Solution

The fourth proportional to 311,047.90, 466,629.45 and 100,692.70 is: 151,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,047.90 : 466,629.45 = 100,692.70 : x
  2. Step 2: Convert to fraction form
    311,047.90/466,629.45 = 100,692.70/x
  3. Step 3: Cross multiply
    311,047.90x = 466,629.45 × 100,692.70
  4. Step 4: Simplify right side
    311,047.90x = 46,986,179,220.02
  5. Step 5: Solve for x
    x = 46,986,179,220.02/311,047.90
  6. Step 6: Final answer
    x = 151,057.70

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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.