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Finding the Fourth Proportional to 300,994.29, 415,313.63 and 178,464.04

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Solution

The fourth proportional to 300,994.29, 415,313.63 and 178,464.04 is: 246,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,994.29 : 415,313.63 = 178,464.04 : x
  2. Step 2: Convert to fraction form
    300,994.29/415,313.63 = 178,464.04/x
  3. Step 3: Cross multiply
    300,994.29x = 415,313.63 × 178,464.04
  4. Step 4: Simplify right side
    300,994.29x = 74,118,548,276.87
  5. Step 5: Solve for x
    x = 74,118,548,276.87/300,994.29
  6. Step 6: Final answer
    x = 246,245.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.