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Finding the Fourth Proportional to 323,503.98, 446,429.46 and 180,260.97

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Solution

The fourth proportional to 323,503.98, 446,429.46 and 180,260.97 is: 248,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,503.98 : 446,429.46 = 180,260.97 : x
  2. Step 2: Convert to fraction form
    323,503.98/446,429.46 = 180,260.97/x
  3. Step 3: Cross multiply
    323,503.98x = 446,429.46 × 180,260.97
  4. Step 4: Simplify right side
    323,503.98x = 80,473,807,496.18
  5. Step 5: Solve for x
    x = 80,473,807,496.18/323,503.98
  6. Step 6: Final answer
    x = 248,756.78

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1.5x scale

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.