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Finding the Fourth Proportional to 415,509.25, 623,544.31 and 162,758.39

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Solution

The fourth proportional to 415,509.25, 623,544.31 and 162,758.39 is: 244,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,509.25 : 623,544.31 = 162,758.39 : x
  2. Step 2: Convert to fraction form
    415,509.25/623,544.31 = 162,758.39/x
  3. Step 3: Cross multiply
    415,509.25x = 623,544.31 × 162,758.39
  4. Step 4: Simplify right side
    415,509.25x = 101,487,067,989.26
  5. Step 5: Solve for x
    x = 101,487,067,989.26/415,509.25
  6. Step 6: Final answer
    x = 244,247.43

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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.