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Finding the Fourth Proportional to 464,832.12, 641,383.02 and 312,092.04

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Solution

The fourth proportional to 464,832.12, 641,383.02 and 312,092.04 is: 430,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,832.12 : 641,383.02 = 312,092.04 : x
  2. Step 2: Convert to fraction form
    464,832.12/641,383.02 = 312,092.04/x
  3. Step 3: Cross multiply
    464,832.12x = 641,383.02 × 312,092.04
  4. Step 4: Simplify right side
    464,832.12x = 200,170,535,133.16
  5. Step 5: Solve for x
    x = 200,170,535,133.16/464,832.12
  6. Step 6: Final answer
    x = 430,629.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.