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Finding the Fourth Proportional to 471,576.90, 707,476.02 and 156,033.78

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Solution

The fourth proportional to 471,576.90, 707,476.02 and 156,033.78 is: 234,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,576.90 : 707,476.02 = 156,033.78 : x
  2. Step 2: Convert to fraction form
    471,576.90/707,476.02 = 156,033.78/x
  3. Step 3: Cross multiply
    471,576.90x = 707,476.02 × 156,033.78
  4. Step 4: Simplify right side
    471,576.90x = 110,390,157,659.96
  5. Step 5: Solve for x
    x = 110,390,157,659.96/471,576.90
  6. Step 6: Final answer
    x = 234,087.29

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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.