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Finding the Fourth Proportional to 546,722.80, 820,213.80 and 280,524.40

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Solution

The fourth proportional to 546,722.80, 820,213.80 and 280,524.40 is: 420,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,722.80 : 820,213.80 = 280,524.40 : x
  2. Step 2: Convert to fraction form
    546,722.80/820,213.80 = 280,524.40/x
  3. Step 3: Cross multiply
    546,722.80x = 820,213.80 × 280,524.40
  4. Step 4: Simplify right side
    546,722.80x = 230,089,984,116.72
  5. Step 5: Solve for x
    x = 230,089,984,116.72/546,722.80
  6. Step 6: Final answer
    x = 420,853.10

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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.