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Finding the Fourth Proportional to 514,053.84, 770,623 and 244,015.38

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Solution

The fourth proportional to 514,053.84, 770,623 and 244,015.38 is: 365,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,053.84 : 770,623 = 244,015.38 : x
  2. Step 2: Convert to fraction form
    514,053.84/770,623 = 244,015.38/x
  3. Step 3: Cross multiply
    514,053.84x = 770,623 × 244,015.38
  4. Step 4: Simplify right side
    514,053.84x = 188,043,864,181.74
  5. Step 5: Solve for x
    x = 188,043,864,181.74/514,053.84
  6. Step 6: Final answer
    x = 365,805.78

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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.