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Finding the Fourth Proportional to 288,483.21, 398,105.82 and 159,418.08

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Solution

The fourth proportional to 288,483.21, 398,105.82 and 159,418.08 is: 219,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,483.21 : 398,105.82 = 159,418.08 : x
  2. Step 2: Convert to fraction form
    288,483.21/398,105.82 = 159,418.08/x
  3. Step 3: Cross multiply
    288,483.21x = 398,105.82 × 159,418.08
  4. Step 4: Simplify right side
    288,483.21x = 63,465,265,461.23
  5. Step 5: Solve for x
    x = 63,465,265,461.23/288,483.21
  6. Step 6: Final answer
    x = 219,996.39

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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.