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Finding the Fourth Proportional to 471,934.10, 707,509.23 and 187,449.14

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Solution

The fourth proportional to 471,934.10, 707,509.23 and 187,449.14 is: 281,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,934.10 : 707,509.23 = 187,449.14 : x
  2. Step 2: Convert to fraction form
    471,934.10/707,509.23 = 187,449.14/x
  3. Step 3: Cross multiply
    471,934.10x = 707,509.23 × 187,449.14
  4. Step 4: Simplify right side
    471,934.10x = 132,621,993,168.02
  5. Step 5: Solve for x
    x = 132,621,993,168.02/471,934.10
  6. Step 6: Final answer
    x = 281,018.04

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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.