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Finding the Fourth Proportional to 471,439.56, 707,051.34 and 134,473.80

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Solution

The fourth proportional to 471,439.56, 707,051.34 and 134,473.80 is: 201,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,439.56 : 707,051.34 = 134,473.80 : x
  2. Step 2: Convert to fraction form
    471,439.56/707,051.34 = 134,473.80/x
  3. Step 3: Cross multiply
    471,439.56x = 707,051.34 × 134,473.80
  4. Step 4: Simplify right side
    471,439.56x = 95,079,880,484.89
  5. Step 5: Solve for x
    x = 95,079,880,484.89/471,439.56
  6. Step 6: Final answer
    x = 201,679.89

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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.