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Finding the Fourth Proportional to 469,196.19, 647,072.67 and 365,856

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Solution

The fourth proportional to 469,196.19, 647,072.67 and 365,856 is: 504,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,196.19 : 647,072.67 = 365,856 : x
  2. Step 2: Convert to fraction form
    469,196.19/647,072.67 = 365,856/x
  3. Step 3: Cross multiply
    469,196.19x = 647,072.67 × 365,856
  4. Step 4: Simplify right side
    469,196.19x = 236,735,418,755.52
  5. Step 5: Solve for x
    x = 236,735,418,755.52/469,196.19
  6. Step 6: Final answer
    x = 504,555.29

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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.