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Finding the Fourth Proportional to 515,971.98, 773,657.24 and 200,059.82

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Solution

The fourth proportional to 515,971.98, 773,657.24 and 200,059.82 is: 299,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,971.98 : 773,657.24 = 200,059.82 : x
  2. Step 2: Convert to fraction form
    515,971.98/773,657.24 = 200,059.82/x
  3. Step 3: Cross multiply
    515,971.98x = 773,657.24 × 200,059.82
  4. Step 4: Simplify right side
    515,971.98x = 154,777,728,176.10
  5. Step 5: Solve for x
    x = 154,777,728,176.10/515,971.98
  6. Step 6: Final answer
    x = 299,973.13

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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.