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Finding the Fourth Proportional to 409,558.95, 565,122.83 and 228,231.14

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Solution

The fourth proportional to 409,558.95, 565,122.83 and 228,231.14 is: 314,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,558.95 : 565,122.83 = 228,231.14 : x
  2. Step 2: Convert to fraction form
    409,558.95/565,122.83 = 228,231.14/x
  3. Step 3: Cross multiply
    409,558.95x = 565,122.83 × 228,231.14
  4. Step 4: Simplify right side
    409,558.95x = 128,978,623,764.16
  5. Step 5: Solve for x
    x = 128,978,623,764.16/409,558.95
  6. Step 6: Final answer
    x = 314,920.78

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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.