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Finding the Fourth Proportional to 472,051.27, 708,138.73 and 172,672.84

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Solution

The fourth proportional to 472,051.27, 708,138.73 and 172,672.84 is: 259,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,051.27 : 708,138.73 = 172,672.84 : x
  2. Step 2: Convert to fraction form
    472,051.27/708,138.73 = 172,672.84/x
  3. Step 3: Cross multiply
    472,051.27x = 708,138.73 × 172,672.84
  4. Step 4: Simplify right side
    472,051.27x = 122,276,325,623.09
  5. Step 5: Solve for x
    x = 122,276,325,623.09/472,051.27
  6. Step 6: Final answer
    x = 259,031.88

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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.