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Finding the Fourth Proportional to 328,805.30, 493,467.24 and 168,874.76

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Solution

The fourth proportional to 328,805.30, 493,467.24 and 168,874.76 is: 253,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,805.30 : 493,467.24 = 168,874.76 : x
  2. Step 2: Convert to fraction form
    328,805.30/493,467.24 = 168,874.76/x
  3. Step 3: Cross multiply
    328,805.30x = 493,467.24 × 168,874.76
  4. Step 4: Simplify right side
    328,805.30x = 83,334,161,722.86
  5. Step 5: Solve for x
    x = 83,334,161,722.86/328,805.30
  6. Step 6: Final answer
    x = 253,445.31

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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.