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Finding the Fourth Proportional to 299,442.34, 413,230.52 and 165,306.34

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Solution

The fourth proportional to 299,442.34, 413,230.52 and 165,306.34 is: 228,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,442.34 : 413,230.52 = 165,306.34 : x
  2. Step 2: Convert to fraction form
    299,442.34/413,230.52 = 165,306.34/x
  3. Step 3: Cross multiply
    299,442.34x = 413,230.52 × 165,306.34
  4. Step 4: Simplify right side
    299,442.34x = 68,309,624,837.50
  5. Step 5: Solve for x
    x = 68,309,624,837.50/299,442.34
  6. Step 6: Final answer
    x = 228,122.80

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1.5x scale

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.