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Finding the Fourth Proportional to 597,082.89, 823,840.97 and 500,676.69

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Solution

The fourth proportional to 597,082.89, 823,840.97 and 500,676.69 is: 690,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,082.89 : 823,840.97 = 500,676.69 : x
  2. Step 2: Convert to fraction form
    597,082.89/823,840.97 = 500,676.69/x
  3. Step 3: Cross multiply
    597,082.89x = 823,840.97 × 500,676.69
  4. Step 4: Simplify right side
    597,082.89x = 412,477,967,442.61
  5. Step 5: Solve for x
    x = 412,477,967,442.61/597,082.89
  6. Step 6: Final answer
    x = 690,821.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.