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Finding the Fourth Proportional to 412,449.60, 619,250.40 and 263,611.20

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Solution

The fourth proportional to 412,449.60, 619,250.40 and 263,611.20 is: 395,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,449.60 : 619,250.40 = 263,611.20 : x
  2. Step 2: Convert to fraction form
    412,449.60/619,250.40 = 263,611.20/x
  3. Step 3: Cross multiply
    412,449.60x = 619,250.40 × 263,611.20
  4. Step 4: Simplify right side
    412,449.60x = 163,241,341,044.48
  5. Step 5: Solve for x
    x = 163,241,341,044.48/412,449.60
  6. Step 6: Final answer
    x = 395,784.94

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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.