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Finding the Fourth Proportional to 301,343.38, 415,826.35 and 178,814.64

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Solution

The fourth proportional to 301,343.38, 415,826.35 and 178,814.64 is: 246,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.38 : 415,826.35 = 178,814.64 : x
  2. Step 2: Convert to fraction form
    301,343.38/415,826.35 = 178,814.64/x
  3. Step 3: Cross multiply
    301,343.38x = 415,826.35 × 178,814.64
  4. Step 4: Simplify right side
    301,343.38x = 74,355,839,077.76
  5. Step 5: Solve for x
    x = 74,355,839,077.76/301,343.38
  6. Step 6: Final answer
    x = 246,747.88

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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.