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Finding the Fourth Proportional to 417,961.93, 576,964.03 and 282,179.80

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Solution

The fourth proportional to 417,961.93, 576,964.03 and 282,179.80 is: 389,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,961.93 : 576,964.03 = 282,179.80 : x
  2. Step 2: Convert to fraction form
    417,961.93/576,964.03 = 282,179.80/x
  3. Step 3: Cross multiply
    417,961.93x = 576,964.03 × 282,179.80
  4. Step 4: Simplify right side
    417,961.93x = 162,807,591,707.77
  5. Step 5: Solve for x
    x = 162,807,591,707.77/417,961.93
  6. Step 6: Final answer
    x = 389,527.32

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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.