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Finding the Fourth Proportional to 323,282.96, 446,144.32 and 180,043

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Solution

The fourth proportional to 323,282.96, 446,144.32 and 180,043 is: 248,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,282.96 : 446,144.32 = 180,043 : x
  2. Step 2: Convert to fraction form
    323,282.96/446,144.32 = 180,043/x
  3. Step 3: Cross multiply
    323,282.96x = 446,144.32 × 180,043
  4. Step 4: Simplify right side
    323,282.96x = 80,325,161,805.76
  5. Step 5: Solve for x
    x = 80,325,161,805.76/323,282.96
  6. Step 6: Final answer
    x = 248,467.05

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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.