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Finding the Fourth Proportional to 691,980.89, 954,911.97 and 405,691.65

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Solution

The fourth proportional to 691,980.89, 954,911.97 and 405,691.65 is: 559,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,980.89 : 954,911.97 = 405,691.65 : x
  2. Step 2: Convert to fraction form
    691,980.89/954,911.97 = 405,691.65/x
  3. Step 3: Cross multiply
    691,980.89x = 954,911.97 × 405,691.65
  4. Step 4: Simplify right side
    691,980.89x = 387,399,812,714.05
  5. Step 5: Solve for x
    x = 387,399,812,714.05/691,980.89
  6. Step 6: Final answer
    x = 559,841.78

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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.