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Finding the Fourth Proportional to 323,432.40, 486,023.40 and 284,941.20

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Solution

The fourth proportional to 323,432.40, 486,023.40 and 284,941.20 is: 428,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,432.40 : 486,023.40 = 284,941.20 : x
  2. Step 2: Convert to fraction form
    323,432.40/486,023.40 = 284,941.20/x
  3. Step 3: Cross multiply
    323,432.40x = 486,023.40 × 284,941.20
  4. Step 4: Simplify right side
    323,432.40x = 138,488,090,824.08
  5. Step 5: Solve for x
    x = 138,488,090,824.08/323,432.40
  6. Step 6: Final answer
    x = 428,182.49

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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.