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Finding the Fourth Proportional to 320,473.74, 441,241.44 and 282,207.32

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Solution

The fourth proportional to 320,473.74, 441,241.44 and 282,207.32 is: 388,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,473.74 : 441,241.44 = 282,207.32 : x
  2. Step 2: Convert to fraction form
    320,473.74/441,241.44 = 282,207.32/x
  3. Step 3: Cross multiply
    320,473.74x = 441,241.44 × 282,207.32
  4. Step 4: Simplify right side
    320,473.74x = 124,521,562,049.13
  5. Step 5: Solve for x
    x = 124,521,562,049.13/320,473.74
  6. Step 6: Final answer
    x = 388,554.65

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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.