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Finding the Fourth Proportional to 465,564.37, 642,458.13 and 271,990.03

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Solution

The fourth proportional to 465,564.37, 642,458.13 and 271,990.03 is: 375,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,564.37 : 642,458.13 = 271,990.03 : x
  2. Step 2: Convert to fraction form
    465,564.37/642,458.13 = 271,990.03/x
  3. Step 3: Cross multiply
    465,564.37x = 642,458.13 × 271,990.03
  4. Step 4: Simplify right side
    465,564.37x = 174,742,202,840.15
  5. Step 5: Solve for x
    x = 174,742,202,840.15/465,564.37
  6. Step 6: Final answer
    x = 375,334.14

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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.