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Finding the Fourth Proportional to 357,898.06, 493,845.81 and 204,912.10

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Solution

The fourth proportional to 357,898.06, 493,845.81 and 204,912.10 is: 282,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,898.06 : 493,845.81 = 204,912.10 : x
  2. Step 2: Convert to fraction form
    357,898.06/493,845.81 = 204,912.10/x
  3. Step 3: Cross multiply
    357,898.06x = 493,845.81 × 204,912.10
  4. Step 4: Simplify right side
    357,898.06x = 101,194,982,003.30
  5. Step 5: Solve for x
    x = 101,194,982,003.30/357,898.06
  6. Step 6: Final answer
    x = 282,748.06

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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.