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Finding the Fourth Proportional to 343,367.90, 514,906.05 and 165,929.30

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Solution

The fourth proportional to 343,367.90, 514,906.05 and 165,929.30 is: 248,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,367.90 : 514,906.05 = 165,929.30 : x
  2. Step 2: Convert to fraction form
    343,367.90/514,906.05 = 165,929.30/x
  3. Step 3: Cross multiply
    343,367.90x = 514,906.05 × 165,929.30
  4. Step 4: Simplify right side
    343,367.90x = 85,438,000,442.27
  5. Step 5: Solve for x
    x = 85,438,000,442.27/343,367.90
  6. Step 6: Final answer
    x = 248,823.49

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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.