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Finding the Fourth Proportional to 399,461.96, 551,245.02 and 218,171

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Solution

The fourth proportional to 399,461.96, 551,245.02 and 218,171 is: 301,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,461.96 : 551,245.02 = 218,171 : x
  2. Step 2: Convert to fraction form
    399,461.96/551,245.02 = 218,171/x
  3. Step 3: Cross multiply
    399,461.96x = 551,245.02 × 218,171
  4. Step 4: Simplify right side
    399,461.96x = 120,265,677,258.42
  5. Step 5: Solve for x
    x = 120,265,677,258.42/399,461.96
  6. Step 6: Final answer
    x = 301,069.16

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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.