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Finding the Fourth Proportional to 284,313.14, 392,032.26 and 232,468.48

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Solution

The fourth proportional to 284,313.14, 392,032.26 and 232,468.48 is: 320,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.14 : 392,032.26 = 232,468.48 : x
  2. Step 2: Convert to fraction form
    284,313.14/392,032.26 = 232,468.48/x
  3. Step 3: Cross multiply
    284,313.14x = 392,032.26 × 232,468.48
  4. Step 4: Simplify right side
    284,313.14x = 91,135,144,083.21
  5. Step 5: Solve for x
    x = 91,135,144,083.21/284,313.14
  6. Step 6: Final answer
    x = 320,544.96

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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.