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Finding the Fourth Proportional to 233,461.47, 324,351.86 and 230,662.11

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Solution

The fourth proportional to 233,461.47, 324,351.86 and 230,662.11 is: 320,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,461.47 : 324,351.86 = 230,662.11 : x
  2. Step 2: Convert to fraction form
    233,461.47/324,351.86 = 230,662.11/x
  3. Step 3: Cross multiply
    233,461.47x = 324,351.86 × 230,662.11
  4. Step 4: Simplify right side
    233,461.47x = 74,815,684,986.68
  5. Step 5: Solve for x
    x = 74,815,684,986.68/233,461.47
  6. Step 6: Final answer
    x = 320,462.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.