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Finding the Fourth Proportional to 284,770.38, 392,968.68 and 157,421.37

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Solution

The fourth proportional to 284,770.38, 392,968.68 and 157,421.37 is: 217,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,770.38 : 392,968.68 = 157,421.37 : x
  2. Step 2: Convert to fraction form
    284,770.38/392,968.68 = 157,421.37/x
  3. Step 3: Cross multiply
    284,770.38x = 392,968.68 × 157,421.37
  4. Step 4: Simplify right side
    284,770.38x = 61,861,667,972.69
  5. Step 5: Solve for x
    x = 61,861,667,972.69/284,770.38
  6. Step 6: Final answer
    x = 217,233.51

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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.