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Finding the Fourth Proportional to 422,955.36, 634,044.51 and 182,919.12

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Solution

The fourth proportional to 422,955.36, 634,044.51 and 182,919.12 is: 274,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,955.36 : 634,044.51 = 182,919.12 : x
  2. Step 2: Convert to fraction form
    422,955.36/634,044.51 = 182,919.12/x
  3. Step 3: Cross multiply
    422,955.36x = 634,044.51 × 182,919.12
  4. Step 4: Simplify right side
    422,955.36x = 115,978,863,810.03
  5. Step 5: Solve for x
    x = 115,978,863,810.03/422,955.36
  6. Step 6: Final answer
    x = 274,210.65

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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.