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Finding the Fourth Proportional to 399,415.94, 551,198.38 and 218,133.20

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Solution

The fourth proportional to 399,415.94, 551,198.38 and 218,133.20 is: 301,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,415.94 : 551,198.38 = 218,133.20 : x
  2. Step 2: Convert to fraction form
    399,415.94/551,198.38 = 218,133.20/x
  3. Step 3: Cross multiply
    399,415.94x = 551,198.38 × 218,133.20
  4. Step 4: Simplify right side
    399,415.94x = 120,234,666,464.22
  5. Step 5: Solve for x
    x = 120,234,666,464.22/399,415.94
  6. Step 6: Final answer
    x = 301,026.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.