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Finding the Fourth Proportional to 313,046.52, 469,471.23 and 102,635.25

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Solution

The fourth proportional to 313,046.52, 469,471.23 and 102,635.25 is: 153,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,046.52 : 469,471.23 = 102,635.25 : x
  2. Step 2: Convert to fraction form
    313,046.52/469,471.23 = 102,635.25/x
  3. Step 3: Cross multiply
    313,046.52x = 469,471.23 × 102,635.25
  4. Step 4: Simplify right side
    313,046.52x = 48,184,297,058.86
  5. Step 5: Solve for x
    x = 48,184,297,058.86/313,046.52
  6. Step 6: Final answer
    x = 153,920.56

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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.