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Finding the Fourth Proportional to 409,564.99, 565,202.33 and 228,288.43

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Solution

The fourth proportional to 409,564.99, 565,202.33 and 228,288.43 is: 315,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.99 : 565,202.33 = 228,288.43 : x
  2. Step 2: Convert to fraction form
    409,564.99/565,202.33 = 228,288.43/x
  3. Step 3: Cross multiply
    409,564.99x = 565,202.33 × 228,288.43
  4. Step 4: Simplify right side
    409,564.99x = 129,029,152,548.04
  5. Step 5: Solve for x
    x = 129,029,152,548.04/409,564.99
  6. Step 6: Final answer
    x = 315,039.51

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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.