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Finding the Fourth Proportional to 301,343.30, 415,826.22 and 178,814.52

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Solution

The fourth proportional to 301,343.30, 415,826.22 and 178,814.52 is: 246,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.30 : 415,826.22 = 178,814.52 : x
  2. Step 2: Convert to fraction form
    301,343.30/415,826.22 = 178,814.52/x
  3. Step 3: Cross multiply
    301,343.30x = 415,826.22 × 178,814.52
  4. Step 4: Simplify right side
    301,343.30x = 74,355,766,603.27
  5. Step 5: Solve for x
    x = 74,355,766,603.27/301,343.30
  6. Step 6: Final answer
    x = 246,747.70

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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.