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Finding the Fourth Proportional to 357,893.29, 493,905.47 and 204,958.81

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Solution

The fourth proportional to 357,893.29, 493,905.47 and 204,958.81 is: 282,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,893.29 : 493,905.47 = 204,958.81 : x
  2. Step 2: Convert to fraction form
    357,893.29/493,905.47 = 204,958.81/x
  3. Step 3: Cross multiply
    357,893.29x = 493,905.47 × 204,958.81
  4. Step 4: Simplify right side
    357,893.29x = 101,230,277,383.69
  5. Step 5: Solve for x
    x = 101,230,277,383.69/357,893.29
  6. Step 6: Final answer
    x = 282,850.45

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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.