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Finding the Fourth Proportional to 551,401.10, 827,101.65 and 462,827.60

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Solution

The fourth proportional to 551,401.10, 827,101.65 and 462,827.60 is: 694,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,401.10 : 827,101.65 = 462,827.60 : x
  2. Step 2: Convert to fraction form
    551,401.10/827,101.65 = 462,827.60/x
  3. Step 3: Cross multiply
    551,401.10x = 827,101.65 × 462,827.60
  4. Step 4: Simplify right side
    551,401.10x = 382,805,471,625.54
  5. Step 5: Solve for x
    x = 382,805,471,625.54/551,401.10
  6. Step 6: Final answer
    x = 694,241.40

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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.