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Finding the Fourth Proportional to 374,984.65, 517,471.90 and 205,215.37

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Solution

The fourth proportional to 374,984.65, 517,471.90 and 205,215.37 is: 283,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,984.65 : 517,471.90 = 205,215.37 : x
  2. Step 2: Convert to fraction form
    374,984.65/517,471.90 = 205,215.37/x
  3. Step 3: Cross multiply
    374,984.65x = 517,471.90 × 205,215.37
  4. Step 4: Simplify right side
    374,984.65x = 106,193,187,423.10
  5. Step 5: Solve for x
    x = 106,193,187,423.10/374,984.65
  6. Step 6: Final answer
    x = 283,193.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.