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Finding the Fourth Proportional to 299,423.40, 449,135.10 and 287,613.60

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Solution

The fourth proportional to 299,423.40, 449,135.10 and 287,613.60 is: 431,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,423.40 : 449,135.10 = 287,613.60 : x
  2. Step 2: Convert to fraction form
    299,423.40/449,135.10 = 287,613.60/x
  3. Step 3: Cross multiply
    299,423.40x = 449,135.10 × 287,613.60
  4. Step 4: Simplify right side
    299,423.40x = 129,177,362,997.36
  5. Step 5: Solve for x
    x = 129,177,362,997.36/299,423.40
  6. Step 6: Final answer
    x = 431,420.40

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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.