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Finding the Fourth Proportional to 464,563.79, 641,372.89 and 292,629.14

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Solution

The fourth proportional to 464,563.79, 641,372.89 and 292,629.14 is: 404,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,563.79 : 641,372.89 = 292,629.14 : x
  2. Step 2: Convert to fraction form
    464,563.79/641,372.89 = 292,629.14/x
  3. Step 3: Cross multiply
    464,563.79x = 641,372.89 × 292,629.14
  4. Step 4: Simplify right side
    464,563.79x = 187,684,393,281.58
  5. Step 5: Solve for x
    x = 187,684,393,281.58/464,563.79
  6. Step 6: Final answer
    x = 404,001.34

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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.