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Finding the Fourth Proportional to 409,089.60, 613,634.40 and 378,676.80

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Solution

The fourth proportional to 409,089.60, 613,634.40 and 378,676.80 is: 568,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,089.60 : 613,634.40 = 378,676.80 : x
  2. Step 2: Convert to fraction form
    409,089.60/613,634.40 = 378,676.80/x
  3. Step 3: Cross multiply
    409,089.60x = 613,634.40 × 378,676.80
  4. Step 4: Simplify right side
    409,089.60x = 232,369,110,961.92
  5. Step 5: Solve for x
    x = 232,369,110,961.92/409,089.60
  6. Step 6: Final answer
    x = 568,015.20

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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.