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Finding the Fourth Proportional to 341,845.40, 511,467.08 and 206,410.97

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Solution

The fourth proportional to 341,845.40, 511,467.08 and 206,410.97 is: 308,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,845.40 : 511,467.08 = 206,410.97 : x
  2. Step 2: Convert to fraction form
    341,845.40/511,467.08 = 206,410.97/x
  3. Step 3: Cross multiply
    341,845.40x = 511,467.08 × 206,410.97
  4. Step 4: Simplify right side
    341,845.40x = 105,572,417,900.56
  5. Step 5: Solve for x
    x = 105,572,417,900.56/341,845.40
  6. Step 6: Final answer
    x = 308,830.88

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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.