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Finding the Fourth Proportional to 409,861.94, 565,608.38 and 228,574.08

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Solution

The fourth proportional to 409,861.94, 565,608.38 and 228,574.08 is: 315,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861.94 : 565,608.38 = 228,574.08 : x
  2. Step 2: Convert to fraction form
    409,861.94/565,608.38 = 228,574.08/x
  3. Step 3: Cross multiply
    409,861.94x = 565,608.38 × 228,574.08
  4. Step 4: Simplify right side
    409,861.94x = 129,283,413,955.92
  5. Step 5: Solve for x
    x = 129,283,413,955.92/409,861.94
  6. Step 6: Final answer
    x = 315,431.62

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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.