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Finding the Fourth Proportional to 384,233.60, 576,350.40 and 251,523.20

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Solution

The fourth proportional to 384,233.60, 576,350.40 and 251,523.20 is: 377,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,233.60 : 576,350.40 = 251,523.20 : x
  2. Step 2: Convert to fraction form
    384,233.60/576,350.40 = 251,523.20/x
  3. Step 3: Cross multiply
    384,233.60x = 576,350.40 × 251,523.20
  4. Step 4: Simplify right side
    384,233.60x = 144,965,496,929.28
  5. Step 5: Solve for x
    x = 144,965,496,929.28/384,233.60
  6. Step 6: Final answer
    x = 377,284.80

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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.