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Finding the Fourth Proportional to 468,634.20, 646,231.38 and 400,875.47

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Solution

The fourth proportional to 468,634.20, 646,231.38 and 400,875.47 is: 552,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,634.20 : 646,231.38 = 400,875.47 : x
  2. Step 2: Convert to fraction form
    468,634.20/646,231.38 = 400,875.47/x
  3. Step 3: Cross multiply
    468,634.20x = 646,231.38 × 400,875.47
  4. Step 4: Simplify right side
    468,634.20x = 259,058,308,186.25
  5. Step 5: Solve for x
    x = 259,058,308,186.25/468,634.20
  6. Step 6: Final answer
    x = 552,794.29

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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.