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Finding the Fourth Proportional to 495,434.13, 683,676.21 and 280,575.73

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Solution

The fourth proportional to 495,434.13, 683,676.21 and 280,575.73 is: 387,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,434.13 : 683,676.21 = 280,575.73 : x
  2. Step 2: Convert to fraction form
    495,434.13/683,676.21 = 280,575.73/x
  3. Step 3: Cross multiply
    495,434.13x = 683,676.21 × 280,575.73
  4. Step 4: Simplify right side
    495,434.13x = 191,822,951,704.38
  5. Step 5: Solve for x
    x = 191,822,951,704.38/495,434.13
  6. Step 6: Final answer
    x = 387,181.54

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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.