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Finding the Fourth Proportional to 456,026.96, 684,052.20 and 216,084.56

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Solution

The fourth proportional to 456,026.96, 684,052.20 and 216,084.56 is: 324,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,026.96 : 684,052.20 = 216,084.56 : x
  2. Step 2: Convert to fraction form
    456,026.96/684,052.20 = 216,084.56/x
  3. Step 3: Cross multiply
    456,026.96x = 684,052.20 × 216,084.56
  4. Step 4: Simplify right side
    456,026.96x = 147,813,118,654.03
  5. Step 5: Solve for x
    x = 147,813,118,654.03/456,026.96
  6. Step 6: Final answer
    x = 324,132.41

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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.