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Finding the Fourth Proportional to 357,924.89, 493,934.27 and 202,905.44

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Solution

The fourth proportional to 357,924.89, 493,934.27 and 202,905.44 is: 280,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.89 : 493,934.27 = 202,905.44 : x
  2. Step 2: Convert to fraction form
    357,924.89/493,934.27 = 202,905.44/x
  3. Step 3: Cross multiply
    357,924.89x = 493,934.27 × 202,905.44
  4. Step 4: Simplify right side
    357,924.89x = 100,221,950,385.43
  5. Step 5: Solve for x
    x = 100,221,950,385.43/357,924.89
  6. Step 6: Final answer
    x = 280,008.33

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