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Finding the Fourth Proportional to 341,226.54, 511,620.84 and 141,684.66

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Solution

The fourth proportional to 341,226.54, 511,620.84 and 141,684.66 is: 212,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,226.54 : 511,620.84 = 141,684.66 : x
  2. Step 2: Convert to fraction form
    341,226.54/511,620.84 = 141,684.66/x
  3. Step 3: Cross multiply
    341,226.54x = 511,620.84 × 141,684.66
  4. Step 4: Simplify right side
    341,226.54x = 72,488,824,764.31
  5. Step 5: Solve for x
    x = 72,488,824,764.31/341,226.54
  6. Step 6: Final answer
    x = 212,436.07

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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.