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Finding the Fourth Proportional to 547,612.05, 820,302.66 and 446,769.48

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Solution

The fourth proportional to 547,612.05, 820,302.66 and 446,769.48 is: 669,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,612.05 : 820,302.66 = 446,769.48 : x
  2. Step 2: Convert to fraction form
    547,612.05/820,302.66 = 446,769.48/x
  3. Step 3: Cross multiply
    547,612.05x = 820,302.66 × 446,769.48
  4. Step 4: Simplify right side
    547,612.05x = 366,486,192,850.82
  5. Step 5: Solve for x
    x = 366,486,192,850.82/547,612.05
  6. Step 6: Final answer
    x = 669,244.21

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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.