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Finding the Fourth Proportional to 551,462.80, 827,194.20 and 411,494.80

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Solution

The fourth proportional to 551,462.80, 827,194.20 and 411,494.80 is: 617,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,462.80 : 827,194.20 = 411,494.80 : x
  2. Step 2: Convert to fraction form
    551,462.80/827,194.20 = 411,494.80/x
  3. Step 3: Cross multiply
    551,462.80x = 827,194.20 × 411,494.80
  4. Step 4: Simplify right side
    551,462.80x = 340,386,111,890.16
  5. Step 5: Solve for x
    x = 340,386,111,890.16/551,462.80
  6. Step 6: Final answer
    x = 617,242.20

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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.