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Finding the Fourth Proportional to 319,048.49, 478,535.67 and 82,372.56

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Solution

The fourth proportional to 319,048.49, 478,535.67 and 82,372.56 is: 123,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,048.49 : 478,535.67 = 82,372.56 : x
  2. Step 2: Convert to fraction form
    319,048.49/478,535.67 = 82,372.56/x
  3. Step 3: Cross multiply
    319,048.49x = 478,535.67 × 82,372.56
  4. Step 4: Simplify right side
    319,048.49x = 39,418,208,189.22
  5. Step 5: Solve for x
    x = 39,418,208,189.22/319,048.49
  6. Step 6: Final answer
    x = 123,549.27

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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.