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Finding the Fourth Proportional to 323,494.74, 446,416.70 and 180,251.72

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Solution

The fourth proportional to 323,494.74, 446,416.70 and 180,251.72 is: 248,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,494.74 : 446,416.70 = 180,251.72 : x
  2. Step 2: Convert to fraction form
    323,494.74/446,416.70 = 180,251.72/x
  3. Step 3: Cross multiply
    323,494.74x = 446,416.70 × 180,251.72
  4. Step 4: Simplify right side
    323,494.74x = 80,467,378,011.72
  5. Step 5: Solve for x
    x = 80,467,378,011.72/323,494.74
  6. Step 6: Final answer
    x = 248,744.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.