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Finding the Fourth Proportional to 299,432.10, 449,148.15 and 232,509.90

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Solution

The fourth proportional to 299,432.10, 449,148.15 and 232,509.90 is: 348,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.10 : 449,148.15 = 232,509.90 : x
  2. Step 2: Convert to fraction form
    299,432.10/449,148.15 = 232,509.90/x
  3. Step 3: Cross multiply
    299,432.10x = 449,148.15 × 232,509.90
  4. Step 4: Simplify right side
    299,432.10x = 104,431,391,441.69
  5. Step 5: Solve for x
    x = 104,431,391,441.69/299,432.10
  6. Step 6: Final answer
    x = 348,764.85

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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.