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Finding the Fourth Proportional to 275,329.01, 412,944.26 and 175,191.75

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Solution

The fourth proportional to 275,329.01, 412,944.26 and 175,191.75 is: 262,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,329.01 : 412,944.26 = 175,191.75 : x
  2. Step 2: Convert to fraction form
    275,329.01/412,944.26 = 175,191.75/x
  3. Step 3: Cross multiply
    275,329.01x = 412,944.26 × 175,191.75
  4. Step 4: Simplify right side
    275,329.01x = 72,344,426,685.90
  5. Step 5: Solve for x
    x = 72,344,426,685.90/275,329.01
  6. Step 6: Final answer
    x = 262,756.28

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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.