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Finding the Fourth Proportional to 632,438.85, 872,786.43 and 345,952.38

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Solution

The fourth proportional to 632,438.85, 872,786.43 and 345,952.38 is: 477,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,438.85 : 872,786.43 = 345,952.38 : x
  2. Step 2: Convert to fraction form
    632,438.85/872,786.43 = 345,952.38/x
  3. Step 3: Cross multiply
    632,438.85x = 872,786.43 × 345,952.38
  4. Step 4: Simplify right side
    632,438.85x = 301,942,542,690.20
  5. Step 5: Solve for x
    x = 301,942,542,690.20/632,438.85
  6. Step 6: Final answer
    x = 477,425.67

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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.