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Finding the Fourth Proportional to 320,471.49, 441,238.34 and 282,205.07

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Solution

The fourth proportional to 320,471.49, 441,238.34 and 282,205.07 is: 388,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,471.49 : 441,238.34 = 282,205.07 : x
  2. Step 2: Convert to fraction form
    320,471.49/441,238.34 = 282,205.07/x
  3. Step 3: Cross multiply
    320,471.49x = 441,238.34 × 282,205.07
  4. Step 4: Simplify right side
    320,471.49x = 124,519,695,125.71
  5. Step 5: Solve for x
    x = 124,519,695,125.71/320,471.49
  6. Step 6: Final answer
    x = 388,551.55

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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.