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Finding the Fourth Proportional to 357,923.89, 493,932.89 and 202,904.44

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Solution

The fourth proportional to 357,923.89, 493,932.89 and 202,904.44 is: 280,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,923.89 : 493,932.89 = 202,904.44 : x
  2. Step 2: Convert to fraction form
    357,923.89/493,932.89 = 202,904.44/x
  3. Step 3: Cross multiply
    357,923.89x = 493,932.89 × 202,904.44
  4. Step 4: Simplify right side
    357,923.89x = 100,221,174,408.42
  5. Step 5: Solve for x
    x = 100,221,174,408.42/357,923.89
  6. Step 6: Final answer
    x = 280,006.94

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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.