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Finding the Fourth Proportional to 597,665.06, 825,585.50 and 477,647.54

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Solution

The fourth proportional to 597,665.06, 825,585.50 and 477,647.54 is: 659,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,665.06 : 825,585.50 = 477,647.54 : x
  2. Step 2: Convert to fraction form
    597,665.06/825,585.50 = 477,647.54/x
  3. Step 3: Cross multiply
    597,665.06x = 825,585.50 × 477,647.54
  4. Step 4: Simplify right side
    597,665.06x = 394,338,883,134.67
  5. Step 5: Solve for x
    x = 394,338,883,134.67/597,665.06
  6. Step 6: Final answer
    x = 659,799.12

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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.