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Finding the Fourth Proportional to 510,664.92, 766,048.14 and 195,387

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Solution

The fourth proportional to 510,664.92, 766,048.14 and 195,387 is: 293,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,664.92 : 766,048.14 = 195,387 : x
  2. Step 2: Convert to fraction form
    510,664.92/766,048.14 = 195,387/x
  3. Step 3: Cross multiply
    510,664.92x = 766,048.14 × 195,387
  4. Step 4: Simplify right side
    510,664.92x = 149,675,847,930.18
  5. Step 5: Solve for x
    x = 149,675,847,930.18/510,664.92
  6. Step 6: Final answer
    x = 293,099.92

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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.