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Finding the Fourth Proportional to 312,990.30, 469,490.31 and 76,337.46

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Solution

The fourth proportional to 312,990.30, 469,490.31 and 76,337.46 is: 114,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,990.30 : 469,490.31 = 76,337.46 : x
  2. Step 2: Convert to fraction form
    312,990.30/469,490.31 = 76,337.46/x
  3. Step 3: Cross multiply
    312,990.30x = 469,490.31 × 76,337.46
  4. Step 4: Simplify right side
    312,990.30x = 35,839,697,760.01
  5. Step 5: Solve for x
    x = 35,839,697,760.01/312,990.30
  6. Step 6: Final answer
    x = 114,507.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.