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Finding the Fourth Proportional to 397,234.65, 594,760.14 and 277,411.35

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Solution

The fourth proportional to 397,234.65, 594,760.14 and 277,411.35 is: 415,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,234.65 : 594,760.14 = 277,411.35 : x
  2. Step 2: Convert to fraction form
    397,234.65/594,760.14 = 277,411.35/x
  3. Step 3: Cross multiply
    397,234.65x = 594,760.14 × 277,411.35
  4. Step 4: Simplify right side
    397,234.65x = 164,993,214,057.12
  5. Step 5: Solve for x
    x = 164,993,214,057.12/397,234.65
  6. Step 6: Final answer
    x = 415,354.54

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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.