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Finding the Fourth Proportional to 313,046.77, 469,471.60 and 102,635.50

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Solution

The fourth proportional to 313,046.77, 469,471.60 and 102,635.50 is: 153,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,046.77 : 469,471.60 = 102,635.50 : x
  2. Step 2: Convert to fraction form
    313,046.77/469,471.60 = 102,635.50/x
  3. Step 3: Cross multiply
    313,046.77x = 469,471.60 × 102,635.50
  4. Step 4: Simplify right side
    313,046.77x = 48,184,452,401.80
  5. Step 5: Solve for x
    x = 48,184,452,401.80/313,046.77
  6. Step 6: Final answer
    x = 153,920.94

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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.