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Finding the Fourth Proportional to 335,581.71, 463,102.82 and 184,678.71

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Solution

The fourth proportional to 335,581.71, 463,102.82 and 184,678.71 is: 254,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,581.71 : 463,102.82 = 184,678.71 : x
  2. Step 2: Convert to fraction form
    335,581.71/463,102.82 = 184,678.71/x
  3. Step 3: Cross multiply
    335,581.71x = 463,102.82 × 184,678.71
  4. Step 4: Simplify right side
    335,581.71x = 85,525,231,394.96
  5. Step 5: Solve for x
    x = 85,525,231,394.96/335,581.71
  6. Step 6: Final answer
    x = 254,856.65

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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.