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Finding the Fourth Proportional to 384,099.20, 576,148.80 and 242,057.60

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Solution

The fourth proportional to 384,099.20, 576,148.80 and 242,057.60 is: 363,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,099.20 : 576,148.80 = 242,057.60 : x
  2. Step 2: Convert to fraction form
    384,099.20/576,148.80 = 242,057.60/x
  3. Step 3: Cross multiply
    384,099.20x = 576,148.80 × 242,057.60
  4. Step 4: Simplify right side
    384,099.20x = 139,461,195,770.88
  5. Step 5: Solve for x
    x = 139,461,195,770.88/384,099.20
  6. Step 6: Final answer
    x = 363,086.40

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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.