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Finding the Fourth Proportional to 294,714.78, 441,407.52 and 206,362.74

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Solution

The fourth proportional to 294,714.78, 441,407.52 and 206,362.74 is: 309,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,714.78 : 441,407.52 = 206,362.74 : x
  2. Step 2: Convert to fraction form
    294,714.78/441,407.52 = 206,362.74/x
  3. Step 3: Cross multiply
    294,714.78x = 441,407.52 × 206,362.74
  4. Step 4: Simplify right side
    294,714.78x = 91,090,065,283.80
  5. Step 5: Solve for x
    x = 91,090,065,283.80/294,714.78
  6. Step 6: Final answer
    x = 309,078.71

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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.