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Finding the Fourth Proportional to 384,021.60, 576,032.40 and 367,432.80

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Solution

The fourth proportional to 384,021.60, 576,032.40 and 367,432.80 is: 551,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,021.60 : 576,032.40 = 367,432.80 : x
  2. Step 2: Convert to fraction form
    384,021.60/576,032.40 = 367,432.80/x
  3. Step 3: Cross multiply
    384,021.60x = 576,032.40 × 367,432.80
  4. Step 4: Simplify right side
    384,021.60x = 211,653,197,622.72
  5. Step 5: Solve for x
    x = 211,653,197,622.72/384,021.60
  6. Step 6: Final answer
    x = 551,149.20

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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.