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Finding the Fourth Proportional to 409,953.29, 614,639.55 and 182,123.78

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Solution

The fourth proportional to 409,953.29, 614,639.55 and 182,123.78 is: 273,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,953.29 : 614,639.55 = 182,123.78 : x
  2. Step 2: Convert to fraction form
    409,953.29/614,639.55 = 182,123.78/x
  3. Step 3: Cross multiply
    409,953.29x = 614,639.55 × 182,123.78
  4. Step 4: Simplify right side
    409,953.29x = 111,940,478,183.50
  5. Step 5: Solve for x
    x = 111,940,478,183.50/409,953.29
  6. Step 6: Final answer
    x = 273,056.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.