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Finding the Fourth Proportional to 357,858.43, 493,845.64 and 204,898.98

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Solution

The fourth proportional to 357,858.43, 493,845.64 and 204,898.98 is: 282,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,858.43 : 493,845.64 = 204,898.98 : x
  2. Step 2: Convert to fraction form
    357,858.43/493,845.64 = 204,898.98/x
  3. Step 3: Cross multiply
    357,858.43x = 493,845.64 × 204,898.98
  4. Step 4: Simplify right side
    357,858.43x = 101,188,467,913.45
  5. Step 5: Solve for x
    x = 101,188,467,913.45/357,858.43
  6. Step 6: Final answer
    x = 282,761.17

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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.