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Finding the Fourth Proportional to 324,933.12, 448,277.76 and 205,632

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Solution

The fourth proportional to 324,933.12, 448,277.76 and 205,632 is: 283,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,933.12 : 448,277.76 = 205,632 : x
  2. Step 2: Convert to fraction form
    324,933.12/448,277.76 = 205,632/x
  3. Step 3: Cross multiply
    324,933.12x = 448,277.76 × 205,632
  4. Step 4: Simplify right side
    324,933.12x = 92,180,252,344.32
  5. Step 5: Solve for x
    x = 92,180,252,344.32/324,933.12
  6. Step 6: Final answer
    x = 283,689.92

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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.