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Finding the Fourth Proportional to 551,674.80, 827,512.20 and 411,706.80

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Solution

The fourth proportional to 551,674.80, 827,512.20 and 411,706.80 is: 617,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,674.80 : 827,512.20 = 411,706.80 : x
  2. Step 2: Convert to fraction form
    551,674.80/827,512.20 = 411,706.80/x
  3. Step 3: Cross multiply
    551,674.80x = 827,512.20 × 411,706.80
  4. Step 4: Simplify right side
    551,674.80x = 340,692,399,822.96
  5. Step 5: Solve for x
    x = 340,692,399,822.96/551,674.80
  6. Step 6: Final answer
    x = 617,560.20

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Similar ratio
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1.5x scale

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.