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Finding the Fourth Proportional to 296,936.52, 409,931.38 and 232,268.34

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Solution

The fourth proportional to 296,936.52, 409,931.38 and 232,268.34 is: 320,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,936.52 : 409,931.38 = 232,268.34 : x
  2. Step 2: Convert to fraction form
    296,936.52/409,931.38 = 232,268.34/x
  3. Step 3: Cross multiply
    296,936.52x = 409,931.38 × 232,268.34
  4. Step 4: Simplify right side
    296,936.52x = 95,214,081,146.51
  5. Step 5: Solve for x
    x = 95,214,081,146.51/296,936.52
  6. Step 6: Final answer
    x = 320,654.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.