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Finding the Fourth Proportional to 419,105.56, 578,349.60 and 237,806.67

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Solution

The fourth proportional to 419,105.56, 578,349.60 and 237,806.67 is: 328,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,105.56 : 578,349.60 = 237,806.67 : x
  2. Step 2: Convert to fraction form
    419,105.56/578,349.60 = 237,806.67/x
  3. Step 3: Cross multiply
    419,105.56x = 578,349.60 × 237,806.67
  4. Step 4: Simplify right side
    419,105.56x = 137,535,391,833.31
  5. Step 5: Solve for x
    x = 137,535,391,833.31/419,105.56
  6. Step 6: Final answer
    x = 328,164.08

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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.