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Finding the Fourth Proportional to 296,935.52, 409,930.00 and 232,267.34

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Solution

The fourth proportional to 296,935.52, 409,930.00 and 232,267.34 is: 320,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,935.52 : 409,930.00 = 232,267.34 : x
  2. Step 2: Convert to fraction form
    296,935.52/409,930.00 = 232,267.34/x
  3. Step 3: Cross multiply
    296,935.52x = 409,930.00 × 232,267.34
  4. Step 4: Simplify right side
    296,935.52x = 95,213,351,130.36
  5. Step 5: Solve for x
    x = 95,213,351,130.36/296,935.52
  6. Step 6: Final answer
    x = 320,653.29

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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.