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Finding the Fourth Proportional to 384,171.20, 576,256.80 and 290,859.20

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Solution

The fourth proportional to 384,171.20, 576,256.80 and 290,859.20 is: 436,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,171.20 : 576,256.80 = 290,859.20 : x
  2. Step 2: Convert to fraction form
    384,171.20/576,256.80 = 290,859.20/x
  3. Step 3: Cross multiply
    384,171.20x = 576,256.80 × 290,859.20
  4. Step 4: Simplify right side
    384,171.20x = 167,609,591,842.56
  5. Step 5: Solve for x
    x = 167,609,591,842.56/384,171.20
  6. Step 6: Final answer
    x = 436,288.80

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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.