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Finding the Fourth Proportional to 513,342.31, 769,954.64 and 134,299.62

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Solution

The fourth proportional to 513,342.31, 769,954.64 and 134,299.62 is: 201,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,342.31 : 769,954.64 = 134,299.62 : x
  2. Step 2: Convert to fraction form
    513,342.31/769,954.64 = 134,299.62/x
  3. Step 3: Cross multiply
    513,342.31x = 769,954.64 × 134,299.62
  4. Step 4: Simplify right side
    513,342.31x = 103,404,614,897.74
  5. Step 5: Solve for x
    x = 103,404,614,897.74/513,342.31
  6. Step 6: Final answer
    x = 201,434.04

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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.