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Finding the Fourth Proportional to 322,662.64, 483,678.04 and 180,577.30

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Solution

The fourth proportional to 322,662.64, 483,678.04 and 180,577.30 is: 270,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,662.64 : 483,678.04 = 180,577.30 : x
  2. Step 2: Convert to fraction form
    322,662.64/483,678.04 = 180,577.30/x
  3. Step 3: Cross multiply
    322,662.64x = 483,678.04 × 180,577.30
  4. Step 4: Simplify right side
    322,662.64x = 87,341,274,532.49
  5. Step 5: Solve for x
    x = 87,341,274,532.49/322,662.64
  6. Step 6: Final answer
    x = 270,689.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.