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Finding the Fourth Proportional to 384,532.36, 530,651.64 and 223,481.68

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Solution

The fourth proportional to 384,532.36, 530,651.64 and 223,481.68 is: 308,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,532.36 : 530,651.64 = 223,481.68 : x
  2. Step 2: Convert to fraction form
    384,532.36/530,651.64 = 223,481.68/x
  3. Step 3: Cross multiply
    384,532.36x = 530,651.64 × 223,481.68
  4. Step 4: Simplify right side
    384,532.36x = 118,590,920,001.96
  5. Step 5: Solve for x
    x = 118,590,920,001.96/384,532.36
  6. Step 6: Final answer
    x = 308,402.97

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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.