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Finding the Fourth Proportional to 419,127.10, 578,379.30 and 237,828.22

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Solution

The fourth proportional to 419,127.10, 578,379.30 and 237,828.22 is: 328,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,127.10 : 578,379.30 = 237,828.22 : x
  2. Step 2: Convert to fraction form
    419,127.10/578,379.30 = 237,828.22/x
  3. Step 3: Cross multiply
    419,127.10x = 578,379.30 × 237,828.22
  4. Step 4: Simplify right side
    419,127.10x = 137,554,919,403.85
  5. Step 5: Solve for x
    x = 137,554,919,403.85/419,127.10
  6. Step 6: Final answer
    x = 328,193.81

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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.