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Finding the Fourth Proportional to 464,633.16, 641,419.01 and 311,615.46

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Solution

The fourth proportional to 464,633.16, 641,419.01 and 311,615.46 is: 430,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,633.16 : 641,419.01 = 311,615.46 : x
  2. Step 2: Convert to fraction form
    464,633.16/641,419.01 = 311,615.46/x
  3. Step 3: Cross multiply
    464,633.16x = 641,419.01 × 311,615.46
  4. Step 4: Simplify right side
    464,633.16x = 199,876,078,295.82
  5. Step 5: Solve for x
    x = 199,876,078,295.82/464,633.16
  6. Step 6: Final answer
    x = 430,180.40

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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.