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Finding the Fourth Proportional to 312,095.70, 467,351.55 and 171,695.70

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Solution

The fourth proportional to 312,095.70, 467,351.55 and 171,695.70 is: 257,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,095.70 : 467,351.55 = 171,695.70 : x
  2. Step 2: Convert to fraction form
    312,095.70/467,351.55 = 171,695.70/x
  3. Step 3: Cross multiply
    312,095.70x = 467,351.55 × 171,695.70
  4. Step 4: Simplify right side
    312,095.70x = 80,242,251,523.34
  5. Step 5: Solve for x
    x = 80,242,251,523.34/312,095.70
  6. Step 6: Final answer
    x = 257,107.84

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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.