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Finding the Fourth Proportional to 323,464.80, 446,328.24 and 180,192.48

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Solution

The fourth proportional to 323,464.80, 446,328.24 and 180,192.48 is: 248,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,464.80 : 446,328.24 = 180,192.48 : x
  2. Step 2: Convert to fraction form
    323,464.80/446,328.24 = 180,192.48/x
  3. Step 3: Cross multiply
    323,464.80x = 446,328.24 × 180,192.48
  4. Step 4: Simplify right side
    323,464.80x = 80,424,992,459.64
  5. Step 5: Solve for x
    x = 80,424,992,459.64/323,464.80
  6. Step 6: Final answer
    x = 248,636.00

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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.