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Finding the Fourth Proportional to 413,998.80, 620,998.20 and 301,149.60

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Solution

The fourth proportional to 413,998.80, 620,998.20 and 301,149.60 is: 451,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,998.80 : 620,998.20 = 301,149.60 : x
  2. Step 2: Convert to fraction form
    413,998.80/620,998.20 = 301,149.60/x
  3. Step 3: Cross multiply
    413,998.80x = 620,998.20 × 301,149.60
  4. Step 4: Simplify right side
    413,998.80x = 187,013,359,530.72
  5. Step 5: Solve for x
    x = 187,013,359,530.72/413,998.80
  6. Step 6: Final answer
    x = 451,724.40

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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.