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Finding the Fourth Proportional to 399,645.16, 551,504.10 and 218,354.92

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Solution

The fourth proportional to 399,645.16, 551,504.10 and 218,354.92 is: 301,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,645.16 : 551,504.10 = 218,354.92 : x
  2. Step 2: Convert to fraction form
    399,645.16/551,504.10 = 218,354.92/x
  3. Step 3: Cross multiply
    399,645.16x = 551,504.10 × 218,354.92
  4. Step 4: Simplify right side
    399,645.16x = 120,423,633,635.17
  5. Step 5: Solve for x
    x = 120,423,633,635.17/399,645.16
  6. Step 6: Final answer
    x = 301,326.39

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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.