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Finding the Fourth Proportional to 515,969.98, 773,654.24 and 200,057.82

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Solution

The fourth proportional to 515,969.98, 773,654.24 and 200,057.82 is: 299,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,969.98 : 773,654.24 = 200,057.82 : x
  2. Step 2: Convert to fraction form
    515,969.98/773,654.24 = 200,057.82/x
  3. Step 3: Cross multiply
    515,969.98x = 773,654.24 × 200,057.82
  4. Step 4: Simplify right side
    515,969.98x = 154,775,580,688.16
  5. Step 5: Solve for x
    x = 154,775,580,688.16/515,969.98
  6. Step 6: Final answer
    x = 299,970.13

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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.