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Finding the Fourth Proportional to 299,750.10, 449,625.15 and 232,827.90

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Solution

The fourth proportional to 299,750.10, 449,625.15 and 232,827.90 is: 349,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,750.10 : 449,625.15 = 232,827.90 : x
  2. Step 2: Convert to fraction form
    299,750.10/449,625.15 = 232,827.90/x
  3. Step 3: Cross multiply
    299,750.10x = 449,625.15 × 232,827.90
  4. Step 4: Simplify right side
    299,750.10x = 104,685,279,461.69
  5. Step 5: Solve for x
    x = 104,685,279,461.69/299,750.10
  6. Step 6: Final answer
    x = 349,241.85

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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.