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Finding the Fourth Proportional to 384,369.30, 576,553.92 and 194,800.14

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Solution

The fourth proportional to 384,369.30, 576,553.92 and 194,800.14 is: 292,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,369.30 : 576,553.92 = 194,800.14 : x
  2. Step 2: Convert to fraction form
    384,369.30/576,553.92 = 194,800.14/x
  3. Step 3: Cross multiply
    384,369.30x = 576,553.92 × 194,800.14
  4. Step 4: Simplify right side
    384,369.30x = 112,312,784,333.55
  5. Step 5: Solve for x
    x = 112,312,784,333.55/384,369.30
  6. Step 6: Final answer
    x = 292,200.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.