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Finding the Fourth Proportional to 361,278.87, 541,930.61 and 171,641.37

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Solution

The fourth proportional to 361,278.87, 541,930.61 and 171,641.37 is: 257,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,278.87 : 541,930.61 = 171,641.37 : x
  2. Step 2: Convert to fraction form
    361,278.87/541,930.61 = 171,641.37/x
  3. Step 3: Cross multiply
    361,278.87x = 541,930.61 × 171,641.37
  4. Step 4: Simplify right side
    361,278.87x = 93,017,712,345.34
  5. Step 5: Solve for x
    x = 93,017,712,345.34/361,278.87
  6. Step 6: Final answer
    x = 257,467.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.