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Finding the Fourth Proportional to 477,932.90, 659,610.38 and 286,958.59

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Solution

The fourth proportional to 477,932.90, 659,610.38 and 286,958.59 is: 396,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,932.90 : 659,610.38 = 286,958.59 : x
  2. Step 2: Convert to fraction form
    477,932.90/659,610.38 = 286,958.59/x
  3. Step 3: Cross multiply
    477,932.90x = 659,610.38 × 286,958.59
  4. Step 4: Simplify right side
    477,932.90x = 189,280,863,662.54
  5. Step 5: Solve for x
    x = 189,280,863,662.54/477,932.90
  6. Step 6: Final answer
    x = 396,040.67

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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.