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Finding the Fourth Proportional to 275,327.80, 412,991.70 and 264,830.20

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Solution

The fourth proportional to 275,327.80, 412,991.70 and 264,830.20 is: 397,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,327.80 : 412,991.70 = 264,830.20 : x
  2. Step 2: Convert to fraction form
    275,327.80/412,991.70 = 264,830.20/x
  3. Step 3: Cross multiply
    275,327.80x = 412,991.70 × 264,830.20
  4. Step 4: Simplify right side
    275,327.80x = 109,372,674,509.34
  5. Step 5: Solve for x
    x = 109,372,674,509.34/275,327.80
  6. Step 6: Final answer
    x = 397,245.30

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1.5x scale

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.