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Finding the Fourth Proportional to 422,172.30, 633,254.47 and 182,455.69

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Solution

The fourth proportional to 422,172.30, 633,254.47 and 182,455.69 is: 273,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,172.30 : 633,254.47 = 182,455.69 : x
  2. Step 2: Convert to fraction form
    422,172.30/633,254.47 = 182,455.69/x
  3. Step 3: Cross multiply
    422,172.30x = 633,254.47 × 182,455.69
  4. Step 4: Simplify right side
    422,172.30x = 115,540,878,103.16
  5. Step 5: Solve for x
    x = 115,540,878,103.16/422,172.30
  6. Step 6: Final answer
    x = 273,681.81

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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.