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Finding the Fourth Proportional to 384,144.80, 576,217.20 and 304,829.60

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Solution

The fourth proportional to 384,144.80, 576,217.20 and 304,829.60 is: 457,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.80 : 576,217.20 = 304,829.60 : x
  2. Step 2: Convert to fraction form
    384,144.80/576,217.20 = 304,829.60/x
  3. Step 3: Cross multiply
    384,144.80x = 576,217.20 × 304,829.60
  4. Step 4: Simplify right side
    384,144.80x = 175,648,058,589.12
  5. Step 5: Solve for x
    x = 175,648,058,589.12/384,144.80
  6. Step 6: Final answer
    x = 457,244.40

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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.