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Finding the Fourth Proportional to 399,777.50, 599,961.10 and 189,415.64

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Solution

The fourth proportional to 399,777.50, 599,961.10 and 189,415.64 is: 284,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,777.50 : 599,961.10 = 189,415.64 : x
  2. Step 2: Convert to fraction form
    399,777.50/599,961.10 = 189,415.64/x
  3. Step 3: Cross multiply
    399,777.50x = 599,961.10 × 189,415.64
  4. Step 4: Simplify right side
    399,777.50x = 113,642,015,731.60
  5. Step 5: Solve for x
    x = 113,642,015,731.60/399,777.50
  6. Step 6: Final answer
    x = 284,263.16

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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.