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Finding the Fourth Proportional to 551,455.60, 827,183.40 and 462,882.10

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Solution

The fourth proportional to 551,455.60, 827,183.40 and 462,882.10 is: 694,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,455.60 : 827,183.40 = 462,882.10 : x
  2. Step 2: Convert to fraction form
    551,455.60/827,183.40 = 462,882.10/x
  3. Step 3: Cross multiply
    551,455.60x = 827,183.40 × 462,882.10
  4. Step 4: Simplify right side
    551,455.60x = 382,888,389,277.14
  5. Step 5: Solve for x
    x = 382,888,389,277.14/551,455.60
  6. Step 6: Final answer
    x = 694,323.15

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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.