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Finding the Fourth Proportional to 384,327.56, 576,552.78 and 162,744.20

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Solution

The fourth proportional to 384,327.56, 576,552.78 and 162,744.20 is: 244,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,327.56 : 576,552.78 = 162,744.20 : x
  2. Step 2: Convert to fraction form
    384,327.56/576,552.78 = 162,744.20/x
  3. Step 3: Cross multiply
    384,327.56x = 576,552.78 × 162,744.20
  4. Step 4: Simplify right side
    384,327.56x = 93,830,620,938.88
  5. Step 5: Solve for x
    x = 93,830,620,938.88/384,327.56
  6. Step 6: Final answer
    x = 244,142.32

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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.