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Finding the Fourth Proportional to 471,758.43, 707,506.29 and 156,239.94

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Solution

The fourth proportional to 471,758.43, 707,506.29 and 156,239.94 is: 234,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,758.43 : 707,506.29 = 156,239.94 : x
  2. Step 2: Convert to fraction form
    471,758.43/707,506.29 = 156,239.94/x
  3. Step 3: Cross multiply
    471,758.43x = 707,506.29 × 156,239.94
  4. Step 4: Simplify right side
    471,758.43x = 110,540,740,299.22
  5. Step 5: Solve for x
    x = 110,540,740,299.22/471,758.43
  6. Step 6: Final answer
    x = 234,316.41

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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.