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Finding the Fourth Proportional to 399,647.94, 551,497.05 and 218,356.98

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Solution

The fourth proportional to 399,647.94, 551,497.05 and 218,356.98 is: 301,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,647.94 : 551,497.05 = 218,356.98 : x
  2. Step 2: Convert to fraction form
    399,647.94/551,497.05 = 218,356.98/x
  3. Step 3: Cross multiply
    399,647.94x = 551,497.05 × 218,356.98
  4. Step 4: Simplify right side
    399,647.94x = 120,423,230,316.91
  5. Step 5: Solve for x
    x = 120,423,230,316.91/399,647.94
  6. Step 6: Final answer
    x = 301,323.29

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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.