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Finding the Fourth Proportional to 275,999.40, 413,999.10 and 186,769.80

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Solution

The fourth proportional to 275,999.40, 413,999.10 and 186,769.80 is: 280,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,999.40 : 413,999.10 = 186,769.80 : x
  2. Step 2: Convert to fraction form
    275,999.40/413,999.10 = 186,769.80/x
  3. Step 3: Cross multiply
    275,999.40x = 413,999.10 × 186,769.80
  4. Step 4: Simplify right side
    275,999.40x = 77,322,529,107.18
  5. Step 5: Solve for x
    x = 77,322,529,107.18/275,999.40
  6. Step 6: Final answer
    x = 280,154.70

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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.