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Finding the Fourth Proportional to 551,456.10, 827,184.15 and 462,882.60

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Solution

The fourth proportional to 551,456.10, 827,184.15 and 462,882.60 is: 694,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,456.10 : 827,184.15 = 462,882.60 : x
  2. Step 2: Convert to fraction form
    551,456.10/827,184.15 = 462,882.60/x
  3. Step 3: Cross multiply
    551,456.10x = 827,184.15 × 462,882.60
  4. Step 4: Simplify right side
    551,456.10x = 382,889,150,030.79
  5. Step 5: Solve for x
    x = 382,889,150,030.79/551,456.10
  6. Step 6: Final answer
    x = 694,323.90

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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.