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Finding the Fourth Proportional to 323,419.80, 446,333.10 and 180,179.76

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Solution

The fourth proportional to 323,419.80, 446,333.10 and 180,179.76 is: 248,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,419.80 : 446,333.10 = 180,179.76 : x
  2. Step 2: Convert to fraction form
    323,419.80/446,333.10 = 180,179.76/x
  3. Step 3: Cross multiply
    323,419.80x = 446,333.10 × 180,179.76
  4. Step 4: Simplify right side
    323,419.80x = 80,420,190,838.06
  5. Step 5: Solve for x
    x = 80,420,190,838.06/323,419.80
  6. Step 6: Final answer
    x = 248,655.74

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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.