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Finding the Fourth Proportional to 412,941.40, 619,412.10 and 367,840.60

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Solution

The fourth proportional to 412,941.40, 619,412.10 and 367,840.60 is: 551,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,941.40 : 619,412.10 = 367,840.60 : x
  2. Step 2: Convert to fraction form
    412,941.40/619,412.10 = 367,840.60/x
  3. Step 3: Cross multiply
    412,941.40x = 619,412.10 × 367,840.60
  4. Step 4: Simplify right side
    412,941.40x = 227,844,918,511.26
  5. Step 5: Solve for x
    x = 227,844,918,511.26/412,941.40
  6. Step 6: Final answer
    x = 551,760.90

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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.