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Finding the Fourth Proportional to 455,994.96, 684,004.20 and 216,052.56

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Solution

The fourth proportional to 455,994.96, 684,004.20 and 216,052.56 is: 324,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,994.96 : 684,004.20 = 216,052.56 : x
  2. Step 2: Convert to fraction form
    455,994.96/684,004.20 = 216,052.56/x
  3. Step 3: Cross multiply
    455,994.96x = 684,004.20 × 216,052.56
  4. Step 4: Simplify right side
    455,994.96x = 147,780,858,460.75
  5. Step 5: Solve for x
    x = 147,780,858,460.75/455,994.96
  6. Step 6: Final answer
    x = 324,084.41

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Why These Related Problems?

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