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Finding the Fourth Proportional to 464,201.78, 696,305.25 and 211,305.42

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Solution

The fourth proportional to 464,201.78, 696,305.25 and 211,305.42 is: 316,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,201.78 : 696,305.25 = 211,305.42 : x
  2. Step 2: Convert to fraction form
    464,201.78/696,305.25 = 211,305.42/x
  3. Step 3: Cross multiply
    464,201.78x = 696,305.25 × 211,305.42
  4. Step 4: Simplify right side
    464,201.78x = 147,133,073,299.46
  5. Step 5: Solve for x
    x = 147,133,073,299.46/464,201.78
  6. Step 6: Final answer
    x = 316,959.31

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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.