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Finding the Fourth Proportional to 551,456.60, 827,184.90 and 462,883.10

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Solution

The fourth proportional to 551,456.60, 827,184.90 and 462,883.10 is: 694,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,456.60 : 827,184.90 = 462,883.10 : x
  2. Step 2: Convert to fraction form
    551,456.60/827,184.90 = 462,883.10/x
  3. Step 3: Cross multiply
    551,456.60x = 827,184.90 × 462,883.10
  4. Step 4: Simplify right side
    551,456.60x = 382,889,910,785.19
  5. Step 5: Solve for x
    x = 382,889,910,785.19/551,456.60
  6. Step 6: Final answer
    x = 694,324.65

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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.