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Finding the Fourth Proportional to 413,610.80, 620,416.20 and 271,893.20

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Solution

The fourth proportional to 413,610.80, 620,416.20 and 271,893.20 is: 407,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610.80 : 620,416.20 = 271,893.20 : x
  2. Step 2: Convert to fraction form
    413,610.80/620,416.20 = 271,893.20/x
  3. Step 3: Cross multiply
    413,610.80x = 620,416.20 × 271,893.20
  4. Step 4: Simplify right side
    413,610.80x = 168,686,945,949.84
  5. Step 5: Solve for x
    x = 168,686,945,949.84/413,610.80
  6. Step 6: Final answer
    x = 407,839.80

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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.