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Finding the Fourth Proportional to 547,613.05, 820,304.16 and 446,770.48

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Solution

The fourth proportional to 547,613.05, 820,304.16 and 446,770.48 is: 669,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,613.05 : 820,304.16 = 446,770.48 : x
  2. Step 2: Convert to fraction form
    547,613.05/820,304.16 = 446,770.48/x
  3. Step 3: Cross multiply
    547,613.05x = 820,304.16 × 446,770.48
  4. Step 4: Simplify right side
    547,613.05x = 366,487,683,309.20
  5. Step 5: Solve for x
    x = 366,487,683,309.20/547,613.05
  6. Step 6: Final answer
    x = 669,245.71

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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.