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Finding the Fourth Proportional to 471,995.52, 708,063.05 and 172,406.03

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Solution

The fourth proportional to 471,995.52, 708,063.05 and 172,406.03 is: 258,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,995.52 : 708,063.05 = 172,406.03 : x
  2. Step 2: Convert to fraction form
    471,995.52/708,063.05 = 172,406.03/x
  3. Step 3: Cross multiply
    471,995.52x = 708,063.05 × 172,406.03
  4. Step 4: Simplify right side
    471,995.52x = 122,074,339,020.70
  5. Step 5: Solve for x
    x = 122,074,339,020.70/471,995.52
  6. Step 6: Final answer
    x = 258,634.53

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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.