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Finding the Fourth Proportional to 417,962, 576,964.15 and 282,179.88

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Solution

The fourth proportional to 417,962, 576,964.15 and 282,179.88 is: 389,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,962 : 576,964.15 = 282,179.88 : x
  2. Step 2: Convert to fraction form
    417,962/576,964.15 = 282,179.88/x
  3. Step 3: Cross multiply
    417,962x = 576,964.15 × 282,179.88
  4. Step 4: Simplify right side
    417,962x = 162,807,674,611.30
  5. Step 5: Solve for x
    x = 162,807,674,611.30/417,962
  6. Step 6: Final answer
    x = 389,527.46

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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.