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Finding the Fourth Proportional to 471,438.56, 707,049.84 and 134,472.80

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Solution

The fourth proportional to 471,438.56, 707,049.84 and 134,472.80 is: 201,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,438.56 : 707,049.84 = 134,472.80 : x
  2. Step 2: Convert to fraction form
    471,438.56/707,049.84 = 134,472.80/x
  3. Step 3: Cross multiply
    471,438.56x = 707,049.84 × 134,472.80
  4. Step 4: Simplify right side
    471,438.56x = 95,078,971,724.35
  5. Step 5: Solve for x
    x = 95,078,971,724.35/471,438.56
  6. Step 6: Final answer
    x = 201,678.39

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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.