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Finding the Fourth Proportional to 326,116.80, 449,850.40 and 205,066.40

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Solution

The fourth proportional to 326,116.80, 449,850.40 and 205,066.40 is: 282,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,116.80 : 449,850.40 = 205,066.40 : x
  2. Step 2: Convert to fraction form
    326,116.80/449,850.40 = 205,066.40/x
  3. Step 3: Cross multiply
    326,116.80x = 449,850.40 × 205,066.40
  4. Step 4: Simplify right side
    326,116.80x = 92,249,202,066.56
  5. Step 5: Solve for x
    x = 92,249,202,066.56/326,116.80
  6. Step 6: Final answer
    x = 282,871.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.