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Finding the Fourth Proportional to 312,003.36, 430,564.14 and 168,762.96

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Solution

The fourth proportional to 312,003.36, 430,564.14 and 168,762.96 is: 232,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,003.36 : 430,564.14 = 168,762.96 : x
  2. Step 2: Convert to fraction form
    312,003.36/430,564.14 = 168,762.96/x
  3. Step 3: Cross multiply
    312,003.36x = 430,564.14 × 168,762.96
  4. Step 4: Simplify right side
    312,003.36x = 72,663,278,736.25
  5. Step 5: Solve for x
    x = 72,663,278,736.25/312,003.36
  6. Step 6: Final answer
    x = 232,892.62

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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.