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Finding the Fourth Proportional to 510,487.12, 765,841.92 and 195,034.24

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Solution

The fourth proportional to 510,487.12, 765,841.92 and 195,034.24 is: 292,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,487.12 : 765,841.92 = 195,034.24 : x
  2. Step 2: Convert to fraction form
    510,487.12/765,841.92 = 195,034.24/x
  3. Step 3: Cross multiply
    510,487.12x = 765,841.92 × 195,034.24
  4. Step 4: Simplify right side
    510,487.12x = 149,365,396,827.34
  5. Step 5: Solve for x
    x = 149,365,396,827.34/510,487.12
  6. Step 6: Final answer
    x = 292,593.86

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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.