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Finding the Fourth Proportional to 389,201.67, 537,097.37 and 219,434.58

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Solution

The fourth proportional to 389,201.67, 537,097.37 and 219,434.58 is: 302,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,201.67 : 537,097.37 = 219,434.58 : x
  2. Step 2: Convert to fraction form
    389,201.67/537,097.37 = 219,434.58/x
  3. Step 3: Cross multiply
    389,201.67x = 537,097.37 × 219,434.58
  4. Step 4: Simplify right side
    389,201.67x = 117,857,734,707.88
  5. Step 5: Solve for x
    x = 117,857,734,707.88/389,201.67
  6. Step 6: Final answer
    x = 302,819.19

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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.