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Finding the Fourth Proportional to 433,847.80, 650,711.70 and 134,534.20

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Solution

The fourth proportional to 433,847.80, 650,711.70 and 134,534.20 is: 201,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,847.80 : 650,711.70 = 134,534.20 : x
  2. Step 2: Convert to fraction form
    433,847.80/650,711.70 = 134,534.20/x
  3. Step 3: Cross multiply
    433,847.80x = 650,711.70 × 134,534.20
  4. Step 4: Simplify right side
    433,847.80x = 87,542,977,990.14
  5. Step 5: Solve for x
    x = 87,542,977,990.14/433,847.80
  6. Step 6: Final answer
    x = 201,782.69

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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.