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Finding the Fourth Proportional to 399,459.24, 551,257.92 and 218,176.38

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Solution

The fourth proportional to 399,459.24, 551,257.92 and 218,176.38 is: 301,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,459.24 : 551,257.92 = 218,176.38 : x
  2. Step 2: Convert to fraction form
    399,459.24/551,257.92 = 218,176.38/x
  3. Step 3: Cross multiply
    399,459.24x = 551,257.92 × 218,176.38
  4. Step 4: Simplify right side
    399,459.24x = 120,271,457,431.93
  5. Step 5: Solve for x
    x = 120,271,457,431.93/399,459.24
  6. Step 6: Final answer
    x = 301,085.68

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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.