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Finding the Fourth Proportional to 471,981.30, 708,074.49 and 172,461.44

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Solution

The fourth proportional to 471,981.30, 708,074.49 and 172,461.44 is: 258,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,981.30 : 708,074.49 = 172,461.44 : x
  2. Step 2: Convert to fraction form
    471,981.30/708,074.49 = 172,461.44/x
  3. Step 3: Cross multiply
    471,981.30x = 708,074.49 × 172,461.44
  4. Step 4: Simplify right side
    471,981.30x = 122,115,542,632.29
  5. Step 5: Solve for x
    x = 122,115,542,632.29/471,981.30
  6. Step 6: Final answer
    x = 258,729.62

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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.