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Finding the Fourth Proportional to 377,999.60, 566,999.40 and 200,415.20

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Solution

The fourth proportional to 377,999.60, 566,999.40 and 200,415.20 is: 300,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,999.60 : 566,999.40 = 200,415.20 : x
  2. Step 2: Convert to fraction form
    377,999.60/566,999.40 = 200,415.20/x
  3. Step 3: Cross multiply
    377,999.60x = 566,999.40 × 200,415.20
  4. Step 4: Simplify right side
    377,999.60x = 113,635,298,150.88
  5. Step 5: Solve for x
    x = 113,635,298,150.88/377,999.60
  6. Step 6: Final answer
    x = 300,622.80

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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.