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Finding the Fourth Proportional to 297,654.38, 410,822.82 and 176,772.31

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Solution

The fourth proportional to 297,654.38, 410,822.82 and 176,772.31 is: 243,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,654.38 : 410,822.82 = 176,772.31 : x
  2. Step 2: Convert to fraction form
    297,654.38/410,822.82 = 176,772.31/x
  3. Step 3: Cross multiply
    297,654.38x = 410,822.82 × 176,772.31
  4. Step 4: Simplify right side
    297,654.38x = 72,622,097,865.06
  5. Step 5: Solve for x
    x = 72,622,097,865.06/297,654.38
  6. Step 6: Final answer
    x = 243,981.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.