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Finding the Fourth Proportional to 299,432, 413,216.52 and 165,296

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Solution

The fourth proportional to 299,432, 413,216.52 and 165,296 is: 228,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432 : 413,216.52 = 165,296 : x
  2. Step 2: Convert to fraction form
    299,432/413,216.52 = 165,296/x
  3. Step 3: Cross multiply
    299,432x = 413,216.52 × 165,296
  4. Step 4: Simplify right side
    299,432x = 68,303,037,889.92
  5. Step 5: Solve for x
    x = 68,303,037,889.92/299,432
  6. Step 6: Final answer
    x = 228,108.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.