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Finding the Fourth Proportional to 384,004.80, 576,007.20 and 218,116.80

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Solution

The fourth proportional to 384,004.80, 576,007.20 and 218,116.80 is: 327,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,004.80 : 576,007.20 = 218,116.80 : x
  2. Step 2: Convert to fraction form
    384,004.80/576,007.20 = 218,116.80/x
  3. Step 3: Cross multiply
    384,004.80x = 576,007.20 × 218,116.80
  4. Step 4: Simplify right side
    384,004.80x = 125,636,847,240.96
  5. Step 5: Solve for x
    x = 125,636,847,240.96/384,004.80
  6. Step 6: Final answer
    x = 327,175.20

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1.5x scale

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.