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Finding the Fourth Proportional to 468,412.56, 646,496.88 and 267,208.56

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Solution

The fourth proportional to 468,412.56, 646,496.88 and 267,208.56 is: 368,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,412.56 : 646,496.88 = 267,208.56 : x
  2. Step 2: Convert to fraction form
    468,412.56/646,496.88 = 267,208.56/x
  3. Step 3: Cross multiply
    468,412.56x = 646,496.88 × 267,208.56
  4. Step 4: Simplify right side
    468,412.56x = 172,749,500,349.29
  5. Step 5: Solve for x
    x = 172,749,500,349.29/468,412.56
  6. Step 6: Final answer
    x = 368,797.75

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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.